Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(117,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.117");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 117.1 | ||
Root | \(-0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.117 |
Dual form | 280.2.bv.c.213.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.965926 | + | 0.258819i | ||||
\(3\) | −1.86603 | − | 0.500000i | −1.07735 | − | 0.288675i | −0.323840 | − | 0.946112i | \(-0.604974\pi\) |
−0.753510 | + | 0.657437i | \(0.771641\pi\) | |||||||
\(4\) | 1.73205 | + | 1.00000i | 0.866025 | + | 0.500000i | ||||
\(5\) | 0.133975 | − | 2.23205i | 0.0599153 | − | 0.998203i | ||||
\(6\) | −2.36603 | − | 1.36603i | −0.965926 | − | 0.557678i | ||||
\(7\) | 0.866025 | − | 2.50000i | 0.327327 | − | 0.944911i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.707107 | + | 0.707107i | ||||
\(9\) | 0.633975 | + | 0.366025i | 0.211325 | + | 0.122008i | ||||
\(10\) | 1.00000 | − | 3.00000i | 0.316228 | − | 0.948683i | ||||
\(11\) | −0.633975 | + | 0.366025i | −0.191151 | + | 0.110361i | −0.592521 | − | 0.805555i | \(-0.701867\pi\) |
0.401371 | + | 0.915916i | \(0.368534\pi\) | |||||||
\(12\) | −2.73205 | − | 2.73205i | −0.788675 | − | 0.788675i | ||||
\(13\) | 3.00000 | − | 3.00000i | 0.832050 | − | 0.832050i | −0.155747 | − | 0.987797i | \(-0.549778\pi\) |
0.987797 | + | 0.155747i | \(0.0497784\pi\) | |||||||
\(14\) | 2.09808 | − | 3.09808i | 0.560734 | − | 0.827996i | ||||
\(15\) | −1.36603 | + | 4.09808i | −0.352706 | + | 1.05812i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | 4.09808 | + | 1.09808i | 0.993929 | + | 0.266323i | 0.718900 | − | 0.695113i | \(-0.244646\pi\) |
0.275029 | + | 0.961436i | \(0.411312\pi\) | |||||||
\(18\) | 0.732051 | + | 0.732051i | 0.172546 | + | 0.172546i | ||||
\(19\) | −3.00000 | − | 1.73205i | −0.688247 | − | 0.397360i | 0.114708 | − | 0.993399i | \(-0.463407\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 2.46410 | − | 3.73205i | 0.550990 | − | 0.834512i | ||||
\(21\) | −2.86603 | + | 4.23205i | −0.625418 | + | 0.923509i | ||||
\(22\) | −1.00000 | + | 0.267949i | −0.213201 | + | 0.0571270i | ||||
\(23\) | 0.401924 | + | 1.50000i | 0.0838069 | + | 0.312772i | 0.995086 | − | 0.0990186i | \(-0.0315703\pi\) |
−0.911279 | + | 0.411790i | \(0.864904\pi\) | |||||||
\(24\) | −2.73205 | − | 4.73205i | −0.557678 | − | 0.965926i | ||||
\(25\) | −4.96410 | − | 0.598076i | −0.992820 | − | 0.119615i | ||||
\(26\) | 5.19615 | − | 3.00000i | 1.01905 | − | 0.588348i | ||||
\(27\) | 3.09808 | + | 3.09808i | 0.596225 | + | 0.596225i | ||||
\(28\) | 4.00000 | − | 3.46410i | 0.755929 | − | 0.654654i | ||||
\(29\) | 4.46410 | 0.828963 | 0.414481 | − | 0.910058i | \(-0.363963\pi\) | ||||
0.414481 | + | 0.910058i | \(0.363963\pi\) | |||||||
\(30\) | −3.36603 | + | 5.09808i | −0.614549 | + | 0.930777i | ||||
\(31\) | −8.83013 | + | 5.09808i | −1.58594 | + | 0.915642i | −0.591971 | + | 0.805959i | \(0.701650\pi\) |
−0.993967 | + | 0.109682i | \(0.965017\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.258819 | + | 0.965926i | ||||
\(33\) | 1.36603 | − | 0.366025i | 0.237795 | − | 0.0637168i | ||||
\(34\) | 5.19615 | + | 3.00000i | 0.891133 | + | 0.514496i | ||||
\(35\) | −5.46410 | − | 2.26795i | −0.923602 | − | 0.383353i | ||||
\(36\) | 0.732051 | + | 1.26795i | 0.122008 | + | 0.211325i | ||||
\(37\) | 1.73205 | + | 6.46410i | 0.284747 | + | 1.06269i | 0.949024 | + | 0.315205i | \(0.102073\pi\) |
−0.664276 | + | 0.747487i | \(0.731260\pi\) | |||||||
\(38\) | −3.46410 | − | 3.46410i | −0.561951 | − | 0.561951i | ||||
\(39\) | −7.09808 | + | 4.09808i | −1.13660 | + | 0.656217i | ||||
\(40\) | 4.73205 | − | 4.19615i | 0.748203 | − | 0.663470i | ||||
\(41\) | − | 0.464102i | − | 0.0724805i | −0.999343 | − | 0.0362402i | \(-0.988462\pi\) | ||
0.999343 | − | 0.0362402i | \(-0.0115382\pi\) | |||||||
\(42\) | −5.46410 | + | 4.73205i | −0.843129 | + | 0.730171i | ||||
\(43\) | −2.36603 | − | 2.36603i | −0.360815 | − | 0.360815i | 0.503298 | − | 0.864113i | \(-0.332120\pi\) |
−0.864113 | + | 0.503298i | \(0.832120\pi\) | |||||||
\(44\) | −1.46410 | −0.220722 | ||||||||
\(45\) | 0.901924 | − | 1.36603i | 0.134451 | − | 0.203635i | ||||
\(46\) | 2.19615i | 0.323805i | ||||||||
\(47\) | 0.169873 | + | 0.633975i | 0.0247785 | + | 0.0924747i | 0.977208 | − | 0.212285i | \(-0.0680905\pi\) |
−0.952429 | + | 0.304760i | \(0.901424\pi\) | |||||||
\(48\) | −2.00000 | − | 7.46410i | −0.288675 | − | 1.07735i | ||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | −6.56218 | − | 2.63397i | −0.928032 | − | 0.372500i | ||||
\(51\) | −7.09808 | − | 4.09808i | −0.993929 | − | 0.573845i | ||||
\(52\) | 8.19615 | − | 2.19615i | 1.13660 | − | 0.304552i | ||||
\(53\) | 0.803848 | − | 3.00000i | 0.110417 | − | 0.412082i | −0.888486 | − | 0.458903i | \(-0.848243\pi\) |
0.998903 | + | 0.0468214i | \(0.0149092\pi\) | |||||||
\(54\) | 3.09808 | + | 5.36603i | 0.421595 | + | 0.730224i | ||||
\(55\) | 0.732051 | + | 1.46410i | 0.0987097 | + | 0.197419i | ||||
\(56\) | 6.73205 | − | 3.26795i | 0.899608 | − | 0.436698i | ||||
\(57\) | 4.73205 | + | 4.73205i | 0.626775 | + | 0.626775i | ||||
\(58\) | 6.09808 | + | 1.63397i | 0.800717 | + | 0.214551i | ||||
\(59\) | −7.73205 | + | 4.46410i | −1.00663 | + | 0.581177i | −0.910202 | − | 0.414164i | \(-0.864074\pi\) |
−0.0964249 | + | 0.995340i | \(0.530741\pi\) | |||||||
\(60\) | −6.46410 | + | 5.73205i | −0.834512 | + | 0.740005i | ||||
\(61\) | −4.96410 | + | 8.59808i | −0.635588 | + | 1.10087i | 0.350802 | + | 0.936450i | \(0.385909\pi\) |
−0.986390 | + | 0.164421i | \(0.947424\pi\) | |||||||
\(62\) | −13.9282 | + | 3.73205i | −1.76888 | + | 0.473971i | ||||
\(63\) | 1.46410 | − | 1.26795i | 0.184459 | − | 0.159747i | ||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | −6.29423 | − | 7.09808i | −0.780703 | − | 0.880408i | ||||
\(66\) | 2.00000 | 0.246183 | ||||||||
\(67\) | 3.86603 | + | 1.03590i | 0.472310 | + | 0.126555i | 0.487120 | − | 0.873335i | \(-0.338048\pi\) |
−0.0148095 | + | 0.999890i | \(0.504714\pi\) | |||||||
\(68\) | 6.00000 | + | 6.00000i | 0.727607 | + | 0.727607i | ||||
\(69\) | − | 3.00000i | − | 0.361158i | ||||||
\(70\) | −6.63397 | − | 5.09808i | −0.792912 | − | 0.609337i | ||||
\(71\) | 15.4641 | 1.83525 | 0.917626 | − | 0.397446i | \(-0.130103\pi\) | ||||
0.917626 | + | 0.397446i | \(0.130103\pi\) | |||||||
\(72\) | 0.535898 | + | 2.00000i | 0.0631562 | + | 0.235702i | ||||
\(73\) | −2.16987 | + | 8.09808i | −0.253964 | + | 0.947808i | 0.714699 | + | 0.699432i | \(0.246564\pi\) |
−0.968664 | + | 0.248376i | \(0.920103\pi\) | |||||||
\(74\) | 9.46410i | 1.10018i | ||||||||
\(75\) | 8.96410 | + | 3.59808i | 1.03509 | + | 0.415470i | ||||
\(76\) | −3.46410 | − | 6.00000i | −0.397360 | − | 0.688247i | ||||
\(77\) | 0.366025 | + | 1.90192i | 0.0417125 | + | 0.216744i | ||||
\(78\) | −11.1962 | + | 3.00000i | −1.26771 | + | 0.339683i | ||||
\(79\) | 11.1962 | + | 6.46410i | 1.25967 | + | 0.727268i | 0.973009 | − | 0.230765i | \(-0.0741230\pi\) |
0.286656 | + | 0.958034i | \(0.407456\pi\) | |||||||
\(80\) | 8.00000 | − | 4.00000i | 0.894427 | − | 0.447214i | ||||
\(81\) | −5.33013 | − | 9.23205i | −0.592236 | − | 1.02578i | ||||
\(82\) | 0.169873 | − | 0.633975i | 0.0187593 | − | 0.0700108i | ||||
\(83\) | 4.56218 | − | 4.56218i | 0.500764 | − | 0.500764i | −0.410911 | − | 0.911675i | \(-0.634789\pi\) |
0.911675 | + | 0.410911i | \(0.134789\pi\) | |||||||
\(84\) | −9.19615 | + | 4.46410i | −1.00338 | + | 0.487073i | ||||
\(85\) | 3.00000 | − | 9.00000i | 0.325396 | − | 0.976187i | ||||
\(86\) | −2.36603 | − | 4.09808i | −0.255135 | − | 0.441907i | ||||
\(87\) | −8.33013 | − | 2.23205i | −0.893083 | − | 0.239301i | ||||
\(88\) | −2.00000 | − | 0.535898i | −0.213201 | − | 0.0571270i | ||||
\(89\) | 8.59808 | − | 14.8923i | 0.911394 | − | 1.57858i | 0.0992979 | − | 0.995058i | \(-0.468340\pi\) |
0.812096 | − | 0.583523i | \(-0.198326\pi\) | |||||||
\(90\) | 1.73205 | − | 1.53590i | 0.182574 | − | 0.161898i | ||||
\(91\) | −4.90192 | − | 10.0981i | −0.513861 | − | 1.05857i | ||||
\(92\) | −0.803848 | + | 3.00000i | −0.0838069 | + | 0.312772i | ||||
\(93\) | 19.0263 | − | 5.09808i | 1.97293 | − | 0.528646i | ||||
\(94\) | 0.928203i | 0.0957369i | ||||||||
\(95\) | −4.26795 | + | 6.46410i | −0.437882 | + | 0.663203i | ||||
\(96\) | − | 10.9282i | − | 1.11536i | ||||||
\(97\) | −6.26795 | + | 6.26795i | −0.636414 | + | 0.636414i | −0.949669 | − | 0.313255i | \(-0.898580\pi\) |
0.313255 | + | 0.949669i | \(0.398580\pi\) | |||||||
\(98\) | −5.92820 | − | 7.92820i | −0.598839 | − | 0.800869i | ||||
\(99\) | −0.535898 | −0.0538598 | ||||||||
\(100\) | −8.00000 | − | 6.00000i | −0.800000 | − | 0.600000i | ||||
\(101\) | 5.06218 | + | 8.76795i | 0.503706 | + | 0.872444i | 0.999991 | + | 0.00428406i | \(0.00136366\pi\) |
−0.496285 | + | 0.868159i | \(0.665303\pi\) | |||||||
\(102\) | −8.19615 | − | 8.19615i | −0.811540 | − | 0.811540i | ||||
\(103\) | 12.4282 | − | 3.33013i | 1.22459 | − | 0.328127i | 0.412118 | − | 0.911131i | \(-0.364789\pi\) |
0.812470 | + | 0.583003i | \(0.198123\pi\) | |||||||
\(104\) | 12.0000 | 1.17670 | ||||||||
\(105\) | 9.06218 | + | 6.96410i | 0.884378 | + | 0.679627i | ||||
\(106\) | 2.19615 | − | 3.80385i | 0.213309 | − | 0.369462i | ||||
\(107\) | −1.42820 | − | 5.33013i | −0.138070 | − | 0.515283i | −0.999966 | − | 0.00819905i | \(-0.997390\pi\) |
0.861897 | − | 0.507084i | \(-0.169277\pi\) | |||||||
\(108\) | 2.26795 | + | 8.46410i | 0.218234 | + | 0.814459i | ||||
\(109\) | −2.13397 | − | 3.69615i | −0.204398 | − | 0.354027i | 0.745543 | − | 0.666458i | \(-0.232190\pi\) |
−0.949941 | + | 0.312430i | \(0.898857\pi\) | |||||||
\(110\) | 0.464102 | + | 2.26795i | 0.0442504 | + | 0.216240i | ||||
\(111\) | − | 12.9282i | − | 1.22709i | ||||||
\(112\) | 10.3923 | − | 2.00000i | 0.981981 | − | 0.188982i | ||||
\(113\) | 2.53590 | − | 2.53590i | 0.238557 | − | 0.238557i | −0.577695 | − | 0.816253i | \(-0.696048\pi\) |
0.816253 | + | 0.577695i | \(0.196048\pi\) | |||||||
\(114\) | 4.73205 | + | 8.19615i | 0.443197 | + | 0.767640i | ||||
\(115\) | 3.40192 | − | 0.696152i | 0.317231 | − | 0.0649165i | ||||
\(116\) | 7.73205 | + | 4.46410i | 0.717903 | + | 0.414481i | ||||
\(117\) | 3.00000 | − | 0.803848i | 0.277350 | − | 0.0743157i | ||||
\(118\) | −12.1962 | + | 3.26795i | −1.12275 | + | 0.300839i | ||||
\(119\) | 6.29423 | − | 9.29423i | 0.576991 | − | 0.852001i | ||||
\(120\) | −10.9282 | + | 5.46410i | −0.997604 | + | 0.498802i | ||||
\(121\) | −5.23205 | + | 9.06218i | −0.475641 | + | 0.823834i | ||||
\(122\) | −9.92820 | + | 9.92820i | −0.898857 | + | 0.898857i | ||||
\(123\) | −0.232051 | + | 0.866025i | −0.0209233 | + | 0.0780869i | ||||
\(124\) | −20.3923 | −1.83128 | ||||||||
\(125\) | −2.00000 | + | 11.0000i | −0.178885 | + | 0.983870i | ||||
\(126\) | 2.46410 | − | 1.19615i | 0.219520 | − | 0.106562i | ||||
\(127\) | −11.0000 | − | 11.0000i | −0.976092 | − | 0.976092i | 0.0236286 | − | 0.999721i | \(-0.492478\pi\) |
−0.999721 | + | 0.0236286i | \(0.992478\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.258819 | + | 0.965926i | ||||
\(129\) | 3.23205 | + | 5.59808i | 0.284566 | + | 0.492883i | ||||
\(130\) | −6.00000 | − | 12.0000i | −0.526235 | − | 1.05247i | ||||
\(131\) | −3.73205 | + | 6.46410i | −0.326071 | + | 0.564771i | −0.981728 | − | 0.190287i | \(-0.939058\pi\) |
0.655658 | + | 0.755058i | \(0.272391\pi\) | |||||||
\(132\) | 2.73205 | + | 0.732051i | 0.237795 | + | 0.0637168i | ||||
\(133\) | −6.92820 | + | 6.00000i | −0.600751 | + | 0.520266i | ||||
\(134\) | 4.90192 | + | 2.83013i | 0.423462 | + | 0.244486i | ||||
\(135\) | 7.33013 | − | 6.50000i | 0.630877 | − | 0.559431i | ||||
\(136\) | 6.00000 | + | 10.3923i | 0.514496 | + | 0.891133i | ||||
\(137\) | 2.19615 | − | 8.19615i | 0.187630 | − | 0.700245i | −0.806422 | − | 0.591340i | \(-0.798599\pi\) |
0.994052 | − | 0.108904i | \(-0.0347343\pi\) | |||||||
\(138\) | 1.09808 | − | 4.09808i | 0.0934745 | − | 0.348851i | ||||
\(139\) | − | 1.26795i | − | 0.107546i | −0.998553 | − | 0.0537730i | \(-0.982875\pi\) | ||
0.998553 | − | 0.0537730i | \(-0.0171247\pi\) | |||||||
\(140\) | −7.19615 | − | 9.39230i | −0.608186 | − | 0.793795i | ||||
\(141\) | − | 1.26795i | − | 0.106781i | ||||||
\(142\) | 21.1244 | + | 5.66025i | 1.77272 | + | 0.474998i | ||||
\(143\) | −0.803848 | + | 3.00000i | −0.0672211 | + | 0.250873i | ||||
\(144\) | 2.92820i | 0.244017i | ||||||||
\(145\) | 0.598076 | − | 9.96410i | 0.0496675 | − | 0.827474i | ||||
\(146\) | −5.92820 | + | 10.2679i | −0.490622 | + | 0.849782i | ||||
\(147\) | 8.09808 | + | 10.8301i | 0.667918 | + | 0.893254i | ||||
\(148\) | −3.46410 | + | 12.9282i | −0.284747 | + | 1.06269i | ||||
\(149\) | −11.3301 | + | 19.6244i | −0.928200 | + | 1.60769i | −0.141868 | + | 0.989886i | \(0.545311\pi\) |
−0.786332 | + | 0.617804i | \(0.788022\pi\) | |||||||
\(150\) | 10.9282 | + | 8.19615i | 0.892284 | + | 0.669213i | ||||
\(151\) | −6.90192 | − | 11.9545i | −0.561671 | − | 0.972842i | −0.997351 | − | 0.0727405i | \(-0.976826\pi\) |
0.435680 | − | 0.900101i | \(-0.356508\pi\) | |||||||
\(152\) | −2.53590 | − | 9.46410i | −0.205689 | − | 0.767640i | ||||
\(153\) | 2.19615 | + | 2.19615i | 0.177548 | + | 0.177548i | ||||
\(154\) | −0.196152 | + | 2.73205i | −0.0158064 | + | 0.220155i | ||||
\(155\) | 10.1962 | + | 20.3923i | 0.818975 | + | 1.63795i | ||||
\(156\) | −16.3923 | −1.31243 | ||||||||
\(157\) | 4.56218 | − | 17.0263i | 0.364101 | − | 1.35885i | −0.504533 | − | 0.863392i | \(-0.668335\pi\) |
0.868635 | − | 0.495453i | \(-0.164998\pi\) | |||||||
\(158\) | 12.9282 | + | 12.9282i | 1.02851 | + | 1.02851i | ||||
\(159\) | −3.00000 | + | 5.19615i | −0.237915 | + | 0.412082i | ||||
\(160\) | 12.3923 | − | 2.53590i | 0.979698 | − | 0.200480i | ||||
\(161\) | 4.09808 | + | 0.294229i | 0.322974 | + | 0.0231885i | ||||
\(162\) | −3.90192 | − | 14.5622i | −0.306564 | − | 1.14411i | ||||
\(163\) | 3.63397 | − | 0.973721i | 0.284635 | − | 0.0762677i | −0.113677 | − | 0.993518i | \(-0.536263\pi\) |
0.398312 | + | 0.917250i | \(0.369596\pi\) | |||||||
\(164\) | 0.464102 | − | 0.803848i | 0.0362402 | − | 0.0627700i | ||||
\(165\) | −0.633975 | − | 3.09808i | −0.0493549 | − | 0.241185i | ||||
\(166\) | 7.90192 | − | 4.56218i | 0.613308 | − | 0.354094i | ||||
\(167\) | −3.29423 | + | 3.29423i | −0.254915 | + | 0.254915i | −0.822982 | − | 0.568067i | \(-0.807691\pi\) |
0.568067 | + | 0.822982i | \(0.307691\pi\) | |||||||
\(168\) | −14.1962 | + | 2.73205i | −1.09526 | + | 0.210782i | ||||
\(169\) | − | 5.00000i | − | 0.384615i | ||||||
\(170\) | 7.39230 | − | 11.1962i | 0.566964 | − | 0.858706i | ||||
\(171\) | −1.26795 | − | 2.19615i | −0.0969625 | − | 0.167944i | ||||
\(172\) | −1.73205 | − | 6.46410i | −0.132068 | − | 0.492883i | ||||
\(173\) | 0.124356 | + | 0.464102i | 0.00945459 | + | 0.0352850i | 0.970492 | − | 0.241133i | \(-0.0775191\pi\) |
−0.961037 | + | 0.276418i | \(0.910852\pi\) | |||||||
\(174\) | −10.5622 | − | 6.09808i | −0.800717 | − | 0.462294i | ||||
\(175\) | −5.79423 | + | 11.8923i | −0.438003 | + | 0.898974i | ||||
\(176\) | −2.53590 | − | 1.46410i | −0.191151 | − | 0.110361i | ||||
\(177\) | 16.6603 | − | 4.46410i | 1.25226 | − | 0.335542i | ||||
\(178\) | 17.1962 | − | 17.1962i | 1.28891 | − | 1.28891i | ||||
\(179\) | −7.02628 | − | 12.1699i | −0.525169 | − | 0.909619i | −0.999570 | − | 0.0293105i | \(-0.990669\pi\) |
0.474402 | − | 0.880309i | \(-0.342664\pi\) | |||||||
\(180\) | 2.92820 | − | 1.46410i | 0.218255 | − | 0.109128i | ||||
\(181\) | −22.5167 | −1.67365 | −0.836825 | − | 0.547470i | \(-0.815591\pi\) | ||||
−0.836825 | + | 0.547470i | \(0.815591\pi\) | |||||||
\(182\) | −3.00000 | − | 15.5885i | −0.222375 | − | 1.15549i | ||||
\(183\) | 13.5622 | − | 13.5622i | 1.00255 | − | 1.00255i | ||||
\(184\) | −2.19615 | + | 3.80385i | −0.161903 | + | 0.280423i | ||||
\(185\) | 14.6603 | − | 3.00000i | 1.07784 | − | 0.220564i | ||||
\(186\) | 27.8564 | 2.04253 | ||||||||
\(187\) | −3.00000 | + | 0.803848i | −0.219382 | + | 0.0587832i | ||||
\(188\) | −0.339746 | + | 1.26795i | −0.0247785 | + | 0.0924747i | ||||
\(189\) | 10.4282 | − | 5.06218i | 0.758540 | − | 0.368219i | ||||
\(190\) | −8.19615 | + | 7.26795i | −0.594611 | + | 0.527272i | ||||
\(191\) | −1.56218 | + | 2.70577i | −0.113035 | + | 0.195783i | −0.916993 | − | 0.398904i | \(-0.869391\pi\) |
0.803957 | + | 0.594687i | \(0.202724\pi\) | |||||||
\(192\) | 4.00000 | − | 14.9282i | 0.288675 | − | 1.07735i | ||||
\(193\) | −11.5622 | − | 3.09808i | −0.832264 | − | 0.223004i | −0.182563 | − | 0.983194i | \(-0.558439\pi\) |
−0.649701 | + | 0.760190i | \(0.725106\pi\) | |||||||
\(194\) | −10.8564 | + | 6.26795i | −0.779445 | + | 0.450013i | ||||
\(195\) | 8.19615 | + | 16.3923i | 0.586939 | + | 1.17388i | ||||
\(196\) | −5.19615 | − | 13.0000i | −0.371154 | − | 0.928571i | ||||
\(197\) | 5.53590 | − | 5.53590i | 0.394416 | − | 0.394416i | −0.481842 | − | 0.876258i | \(-0.660032\pi\) |
0.876258 | + | 0.481842i | \(0.160032\pi\) | |||||||
\(198\) | −0.732051 | − | 0.196152i | −0.0520246 | − | 0.0139399i | ||||
\(199\) | 1.73205 | + | 3.00000i | 0.122782 | + | 0.212664i | 0.920864 | − | 0.389885i | \(-0.127485\pi\) |
−0.798082 | + | 0.602549i | \(0.794152\pi\) | |||||||
\(200\) | −8.73205 | − | 11.1244i | −0.617449 | − | 0.786611i | ||||
\(201\) | −6.69615 | − | 3.86603i | −0.472310 | − | 0.272688i | ||||
\(202\) | 3.70577 | + | 13.8301i | 0.260737 | + | 0.973084i | ||||
\(203\) | 3.86603 | − | 11.1603i | 0.271342 | − | 0.783296i | ||||
\(204\) | −8.19615 | − | 14.1962i | −0.573845 | − | 0.993929i | ||||
\(205\) | −1.03590 | − | 0.0621778i | −0.0723503 | − | 0.00434269i | ||||
\(206\) | 18.1962 | 1.26779 | ||||||||
\(207\) | −0.294229 | + | 1.09808i | −0.0204503 | + | 0.0763216i | ||||
\(208\) | 16.3923 | + | 4.39230i | 1.13660 | + | 0.304552i | ||||
\(209\) | 2.53590 | 0.175412 | ||||||||
\(210\) | 9.83013 | + | 12.8301i | 0.678343 | + | 0.885363i | ||||
\(211\) | 20.5359i | 1.41375i | 0.707339 | + | 0.706875i | \(0.249896\pi\) | ||||
−0.707339 | + | 0.706875i | \(0.750104\pi\) | |||||||
\(212\) | 4.39230 | − | 4.39230i | 0.301665 | − | 0.301665i | ||||
\(213\) | −28.8564 | − | 7.73205i | −1.97721 | − | 0.529791i | ||||
\(214\) | − | 7.80385i | − | 0.533460i | ||||||
\(215\) | −5.59808 | + | 4.96410i | −0.381786 | + | 0.338549i | ||||
\(216\) | 12.3923i | 0.843190i | ||||||||
\(217\) | 5.09808 | + | 26.4904i | 0.346080 | + | 1.79828i | ||||
\(218\) | −1.56218 | − | 5.83013i | −0.105804 | − | 0.394866i | ||||
\(219\) | 8.09808 | − | 14.0263i | 0.547217 | − | 0.947808i | ||||
\(220\) | −0.196152 | + | 3.26795i | −0.0132246 | + | 0.220325i | ||||
\(221\) | 15.5885 | − | 9.00000i | 1.04859 | − | 0.605406i | ||||
\(222\) | 4.73205 | − | 17.6603i | 0.317594 | − | 1.18528i | ||||
\(223\) | −7.92820 | − | 7.92820i | −0.530912 | − | 0.530912i | 0.389932 | − | 0.920844i | \(-0.372499\pi\) |
−0.920844 | + | 0.389932i | \(0.872499\pi\) | |||||||
\(224\) | 14.9282 | + | 1.07180i | 0.997433 | + | 0.0716124i | ||||
\(225\) | −2.92820 | − | 2.19615i | −0.195214 | − | 0.146410i | ||||
\(226\) | 4.39230 | − | 2.53590i | 0.292172 | − | 0.168685i | ||||
\(227\) | 3.43782 | − | 12.8301i | 0.228176 | − | 0.851565i | −0.752931 | − | 0.658100i | \(-0.771361\pi\) |
0.981107 | − | 0.193466i | \(-0.0619728\pi\) | |||||||
\(228\) | 3.46410 | + | 12.9282i | 0.229416 | + | 0.856191i | ||||
\(229\) | −13.3923 | − | 7.73205i | −0.884988 | − | 0.510948i | −0.0126885 | − | 0.999919i | \(-0.504039\pi\) |
−0.872300 | + | 0.488971i | \(0.837372\pi\) | |||||||
\(230\) | 4.90192 | + | 0.294229i | 0.323223 | + | 0.0194009i | ||||
\(231\) | 0.267949 | − | 3.73205i | 0.0176298 | − | 0.245551i | ||||
\(232\) | 8.92820 | + | 8.92820i | 0.586165 | + | 0.586165i | ||||
\(233\) | −1.90192 | − | 7.09808i | −0.124599 | − | 0.465010i | 0.875226 | − | 0.483714i | \(-0.160713\pi\) |
−0.999825 | + | 0.0187040i | \(0.994046\pi\) | |||||||
\(234\) | 4.39230 | 0.287134 | ||||||||
\(235\) | 1.43782 | − | 0.294229i | 0.0937932 | − | 0.0191934i | ||||
\(236\) | −17.8564 | −1.16235 | ||||||||
\(237\) | −17.6603 | − | 17.6603i | −1.14716 | − | 1.14716i | ||||
\(238\) | 12.0000 | − | 10.3923i | 0.777844 | − | 0.673633i | ||||
\(239\) | 4.73205i | 0.306091i | 0.988219 | + | 0.153045i | \(0.0489081\pi\) | ||||
−0.988219 | + | 0.153045i | \(0.951092\pi\) | |||||||
\(240\) | −16.9282 | + | 3.46410i | −1.09271 | + | 0.223607i | ||||
\(241\) | −17.6603 | + | 10.1962i | −1.13760 | + | 0.656792i | −0.945834 | − | 0.324649i | \(-0.894754\pi\) |
−0.191763 | + | 0.981441i | \(0.561420\pi\) | |||||||
\(242\) | −10.4641 | + | 10.4641i | −0.672658 | + | 0.672658i | ||||
\(243\) | 1.92820 | + | 7.19615i | 0.123694 | + | 0.461633i | ||||
\(244\) | −17.1962 | + | 9.92820i | −1.10087 | + | 0.635588i | ||||
\(245\) | −10.4019 | + | 11.6962i | −0.664555 | + | 0.747240i | ||||
\(246\) | −0.633975 | + | 1.09808i | −0.0404207 | + | 0.0700108i | ||||
\(247\) | −14.1962 | + | 3.80385i | −0.903280 | + | 0.242033i | ||||
\(248\) | −27.8564 | − | 7.46410i | −1.76888 | − | 0.473971i | ||||
\(249\) | −10.7942 | + | 6.23205i | −0.684056 | + | 0.394940i | ||||
\(250\) | −6.75833 | + | 14.2942i | −0.427434 | + | 0.904046i | ||||
\(251\) | 19.6603 | 1.24094 | 0.620472 | − | 0.784229i | \(-0.286941\pi\) | ||||
0.620472 | + | 0.784229i | \(0.286941\pi\) | |||||||
\(252\) | 3.80385 | − | 0.732051i | 0.239620 | − | 0.0461149i | ||||
\(253\) | −0.803848 | − | 0.803848i | −0.0505375 | − | 0.0505375i | ||||
\(254\) | −11.0000 | − | 19.0526i | −0.690201 | − | 1.19546i | ||||
\(255\) | −10.0981 | + | 15.2942i | −0.632366 | + | 0.957762i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | 6.92820 | + | 25.8564i | 0.432169 | + | 1.61288i | 0.747751 | + | 0.663980i | \(0.231134\pi\) |
−0.315581 | + | 0.948899i | \(0.602199\pi\) | |||||||
\(258\) | 2.36603 | + | 8.83013i | 0.147302 | + | 0.549740i | ||||
\(259\) | 17.6603 | + | 1.26795i | 1.09735 | + | 0.0787865i | ||||
\(260\) | −3.80385 | − | 18.5885i | −0.235905 | − | 1.15281i | ||||
\(261\) | 2.83013 | + | 1.63397i | 0.175180 | + | 0.101140i | ||||
\(262\) | −7.46410 | + | 7.46410i | −0.461134 | + | 0.461134i | ||||
\(263\) | 0.401924 | + | 0.107695i | 0.0247837 | + | 0.00664077i | 0.271190 | − | 0.962526i | \(-0.412583\pi\) |
−0.246406 | + | 0.969167i | \(0.579250\pi\) | |||||||
\(264\) | 3.46410 | + | 2.00000i | 0.213201 | + | 0.123091i | ||||
\(265\) | −6.58846 | − | 2.19615i | −0.404726 | − | 0.134909i | ||||
\(266\) | −11.6603 | + | 5.66025i | −0.714936 | + | 0.347052i | ||||
\(267\) | −23.4904 | + | 23.4904i | −1.43759 | + | 1.43759i | ||||
\(268\) | 5.66025 | + | 5.66025i | 0.345755 | + | 0.345755i | ||||
\(269\) | 3.06218 | − | 1.76795i | 0.186704 | − | 0.107794i | −0.403734 | − | 0.914876i | \(-0.632288\pi\) |
0.590439 | + | 0.807082i | \(0.298955\pi\) | |||||||
\(270\) | 12.3923 | − | 6.19615i | 0.754172 | − | 0.377086i | ||||
\(271\) | 10.3923 | + | 6.00000i | 0.631288 | + | 0.364474i | 0.781251 | − | 0.624218i | \(-0.214582\pi\) |
−0.149963 | + | 0.988692i | \(0.547915\pi\) | |||||||
\(272\) | 4.39230 | + | 16.3923i | 0.266323 | + | 0.993929i | ||||
\(273\) | 4.09808 | + | 21.2942i | 0.248027 | + | 1.28879i | ||||
\(274\) | 6.00000 | − | 10.3923i | 0.362473 | − | 0.627822i | ||||
\(275\) | 3.36603 | − | 1.43782i | 0.202979 | − | 0.0867039i | ||||
\(276\) | 3.00000 | − | 5.19615i | 0.180579 | − | 0.312772i | ||||
\(277\) | 18.7583 | + | 5.02628i | 1.12708 | + | 0.302000i | 0.773745 | − | 0.633497i | \(-0.218381\pi\) |
0.353334 | + | 0.935497i | \(0.385048\pi\) | |||||||
\(278\) | 0.464102 | − | 1.73205i | 0.0278350 | − | 0.103882i | ||||
\(279\) | −7.46410 | −0.446864 | ||||||||
\(280\) | −6.39230 | − | 15.4641i | −0.382013 | − | 0.924157i | ||||
\(281\) | −24.2487 | −1.44656 | −0.723278 | − | 0.690557i | \(-0.757366\pi\) | ||||
−0.723278 | + | 0.690557i | \(0.757366\pi\) | |||||||
\(282\) | 0.464102 | − | 1.73205i | 0.0276368 | − | 0.103142i | ||||
\(283\) | −13.5622 | − | 3.63397i | −0.806188 | − | 0.216017i | −0.167889 | − | 0.985806i | \(-0.553695\pi\) |
−0.638299 | + | 0.769789i | \(0.720362\pi\) | |||||||
\(284\) | 26.7846 | + | 15.4641i | 1.58937 | + | 0.917626i | ||||
\(285\) | 11.1962 | − | 9.92820i | 0.663203 | − | 0.588096i | ||||
\(286\) | −2.19615 | + | 3.80385i | −0.129861 | + | 0.224926i | ||||
\(287\) | −1.16025 | − | 0.401924i | −0.0684876 | − | 0.0237248i | ||||
\(288\) | −1.07180 | + | 4.00000i | −0.0631562 | + | 0.235702i | ||||
\(289\) | 0.866025 | + | 0.500000i | 0.0509427 | + | 0.0294118i | ||||
\(290\) | 4.46410 | − | 13.3923i | 0.262141 | − | 0.786423i | ||||
\(291\) | 14.8301 | − | 8.56218i | 0.869357 | − | 0.501924i | ||||
\(292\) | −11.8564 | + | 11.8564i | −0.693844 | + | 0.693844i | ||||
\(293\) | −4.19615 | + | 4.19615i | −0.245142 | + | 0.245142i | −0.818973 | − | 0.573832i | \(-0.805456\pi\) |
0.573832 | + | 0.818973i | \(0.305456\pi\) | |||||||
\(294\) | 7.09808 | + | 17.7583i | 0.413968 | + | 1.03569i | ||||
\(295\) | 8.92820 | + | 17.8564i | 0.519820 | + | 1.03964i | ||||
\(296\) | −9.46410 | + | 16.3923i | −0.550090 | + | 0.952783i | ||||
\(297\) | −3.09808 | − | 0.830127i | −0.179769 | − | 0.0481689i | ||||
\(298\) | −22.6603 | + | 22.6603i | −1.31267 | + | 1.31267i | ||||
\(299\) | 5.70577 | + | 3.29423i | 0.329973 | + | 0.190510i | ||||
\(300\) | 11.9282 | + | 15.1962i | 0.688675 | + | 0.877350i | ||||
\(301\) | −7.96410 | + | 3.86603i | −0.459043 | + | 0.222834i | ||||
\(302\) | −5.05256 | − | 18.8564i | −0.290742 | − | 1.08506i | ||||
\(303\) | −5.06218 | − | 18.8923i | −0.290815 | − | 1.08533i | ||||
\(304\) | − | 13.8564i | − | 0.794719i | ||||||
\(305\) | 18.5263 | + | 12.2321i | 1.06081 | + | 0.700405i | ||||
\(306\) | 2.19615 | + | 3.80385i | 0.125546 | + | 0.217451i | ||||
\(307\) | 0.758330 | + | 0.758330i | 0.0432802 | + | 0.0432802i | 0.728416 | − | 0.685135i | \(-0.240257\pi\) |
−0.685135 | + | 0.728416i | \(0.740257\pi\) | |||||||
\(308\) | −1.26795 | + | 3.66025i | −0.0722481 | + | 0.208562i | ||||
\(309\) | −24.8564 | −1.41403 | ||||||||
\(310\) | 6.46410 | + | 31.5885i | 0.367136 | + | 1.79410i | ||||
\(311\) | 21.5885 | − | 12.4641i | 1.22417 | − | 0.706774i | 0.258365 | − | 0.966047i | \(-0.416816\pi\) |
0.965804 | + | 0.259273i | \(0.0834829\pi\) | |||||||
\(312\) | −22.3923 | − | 6.00000i | −1.26771 | − | 0.339683i | ||||
\(313\) | −16.1244 | + | 4.32051i | −0.911402 | + | 0.244210i | −0.683907 | − | 0.729570i | \(-0.739720\pi\) |
−0.227496 | + | 0.973779i | \(0.573054\pi\) | |||||||
\(314\) | 12.4641 | − | 21.5885i | 0.703390 | − | 1.21831i | ||||
\(315\) | −2.63397 | − | 3.43782i | −0.148408 | − | 0.193699i | ||||
\(316\) | 12.9282 | + | 22.3923i | 0.727268 | + | 1.25967i | ||||
\(317\) | −1.16987 | − | 4.36603i | −0.0657066 | − | 0.245220i | 0.925259 | − | 0.379336i | \(-0.123847\pi\) |
−0.990966 | + | 0.134115i | \(0.957181\pi\) | |||||||
\(318\) | −6.00000 | + | 6.00000i | −0.336463 | + | 0.336463i | ||||
\(319\) | −2.83013 | + | 1.63397i | −0.158457 | + | 0.0914850i | ||||
\(320\) | 17.8564 | + | 1.07180i | 0.998203 | + | 0.0599153i | ||||
\(321\) | 10.6603i | 0.594997i | ||||||||
\(322\) | 5.49038 | + | 1.90192i | 0.305967 | + | 0.105990i | ||||
\(323\) | −10.3923 | − | 10.3923i | −0.578243 | − | 0.578243i | ||||
\(324\) | − | 21.3205i | − | 1.18447i | ||||||
\(325\) | −16.6865 | + | 13.0981i | −0.925602 | + | 0.726551i | ||||
\(326\) | 5.32051 | 0.294676 | ||||||||
\(327\) | 2.13397 | + | 7.96410i | 0.118009 | + | 0.440416i | ||||
\(328\) | 0.928203 | − | 0.928203i | 0.0512514 | − | 0.0512514i | ||||
\(329\) | 1.73205 | + | 0.124356i | 0.0954911 | + | 0.00685595i | ||||
\(330\) | 0.267949 | − | 4.46410i | 0.0147501 | − | 0.245741i | ||||
\(331\) | −6.29423 | − | 3.63397i | −0.345962 | − | 0.199741i | 0.316943 | − | 0.948444i | \(-0.397344\pi\) |
−0.662905 | + | 0.748703i | \(0.730677\pi\) | |||||||
\(332\) | 12.4641 | − | 3.33975i | 0.684056 | − | 0.183292i | ||||
\(333\) | −1.26795 | + | 4.73205i | −0.0694832 | + | 0.259315i | ||||
\(334\) | −5.70577 | + | 3.29423i | −0.312206 | + | 0.180252i | ||||
\(335\) | 2.83013 | − | 8.49038i | 0.154626 | − | 0.463879i | ||||
\(336\) | −20.3923 | − | 1.46410i | −1.11249 | − | 0.0798733i | ||||
\(337\) | −19.6603 | − | 19.6603i | −1.07096 | − | 1.07096i | −0.997282 | − | 0.0736804i | \(-0.976526\pi\) |
−0.0736804 | − | 0.997282i | \(-0.523474\pi\) | |||||||
\(338\) | 1.83013 | − | 6.83013i | 0.0995458 | − | 0.371510i | ||||
\(339\) | −6.00000 | + | 3.46410i | −0.325875 | + | 0.188144i | ||||
\(340\) | 14.1962 | − | 12.5885i | 0.769894 | − | 0.682705i | ||||
\(341\) | 3.73205 | − | 6.46410i | 0.202102 | − | 0.350051i | ||||
\(342\) | −0.928203 | − | 3.46410i | −0.0501915 | − | 0.187317i | ||||
\(343\) | −15.5885 | + | 10.0000i | −0.841698 | + | 0.539949i | ||||
\(344\) | − | 9.46410i | − | 0.510270i | ||||||
\(345\) | −6.69615 | − | 0.401924i | −0.360509 | − | 0.0216388i | ||||
\(346\) | 0.679492i | 0.0365297i | ||||||||
\(347\) | −34.9186 | − | 9.35641i | −1.87453 | − | 0.502278i | −0.999845 | − | 0.0175817i | \(-0.994403\pi\) |
−0.874682 | − | 0.484697i | \(-0.838930\pi\) | |||||||
\(348\) | −12.1962 | − | 12.1962i | −0.653782 | − | 0.653782i | ||||
\(349\) | − | 19.9808i | − | 1.06955i | −0.844996 | − | 0.534773i | \(-0.820397\pi\) | ||
0.844996 | − | 0.534773i | \(-0.179603\pi\) | |||||||
\(350\) | −12.2679 | + | 14.1244i | −0.655749 | + | 0.754979i | ||||
\(351\) | 18.5885 | 0.992178 | ||||||||
\(352\) | −2.92820 | − | 2.92820i | −0.156074 | − | 0.156074i | ||||
\(353\) | −6.80385 | + | 25.3923i | −0.362132 | + | 1.35150i | 0.509135 | + | 0.860687i | \(0.329965\pi\) |
−0.871267 | + | 0.490809i | \(0.836701\pi\) | |||||||
\(354\) | 24.3923 | 1.29644 | ||||||||
\(355\) | 2.07180 | − | 34.5167i | 0.109960 | − | 1.83195i | ||||
\(356\) | 29.7846 | − | 17.1962i | 1.57858 | − | 0.911394i | ||||
\(357\) | −16.3923 | + | 14.1962i | −0.867573 | + | 0.751340i | ||||
\(358\) | −5.14359 | − | 19.1962i | −0.271847 | − | 1.01455i | ||||
\(359\) | −4.09808 | − | 2.36603i | −0.216288 | − | 0.124874i | 0.387942 | − | 0.921684i | \(-0.373186\pi\) |
−0.604230 | + | 0.796810i | \(0.706519\pi\) | |||||||
\(360\) | 4.53590 | − | 0.928203i | 0.239063 | − | 0.0489206i | ||||
\(361\) | −3.50000 | − | 6.06218i | −0.184211 | − | 0.319062i | ||||
\(362\) | −30.7583 | − | 8.24167i | −1.61662 | − | 0.433173i | ||||
\(363\) | 14.2942 | − | 14.2942i | 0.750252 | − | 0.750252i | ||||
\(364\) | 1.60770 | − | 22.3923i | 0.0842661 | − | 1.17368i | ||||
\(365\) | 17.7846 | + | 5.92820i | 0.930889 | + | 0.310296i | ||||
\(366\) | 23.4904 | − | 13.5622i | 1.22786 | − | 0.708906i | ||||
\(367\) | 8.06218 | + | 2.16025i | 0.420842 | + | 0.112764i | 0.463024 | − | 0.886346i | \(-0.346764\pi\) |
−0.0421820 | + | 0.999110i | \(0.513431\pi\) | |||||||
\(368\) | −4.39230 | + | 4.39230i | −0.228965 | + | 0.228965i | ||||
\(369\) | 0.169873 | − | 0.294229i | 0.00884323 | − | 0.0153169i | ||||
\(370\) | 21.1244 | + | 1.26795i | 1.09820 | + | 0.0659175i | ||||
\(371\) | −6.80385 | − | 4.60770i | −0.353238 | − | 0.239220i | ||||
\(372\) | 38.0526 | + | 10.1962i | 1.97293 | + | 0.528646i | ||||
\(373\) | 9.46410 | − | 2.53590i | 0.490033 | − | 0.131304i | −0.00533769 | − | 0.999986i | \(-0.501699\pi\) |
0.495370 | + | 0.868682i | \(0.335032\pi\) | |||||||
\(374\) | −4.39230 | −0.227121 | ||||||||
\(375\) | 9.23205 | − | 19.5263i | 0.476741 | − | 1.00833i | ||||
\(376\) | −0.928203 | + | 1.60770i | −0.0478684 | + | 0.0829105i | ||||
\(377\) | 13.3923 | − | 13.3923i | 0.689739 | − | 0.689739i | ||||
\(378\) | 16.0981 | − | 3.09808i | 0.827996 | − | 0.159348i | ||||
\(379\) | 30.2487 | 1.55377 | 0.776886 | − | 0.629641i | \(-0.216798\pi\) | ||||
0.776886 | + | 0.629641i | \(0.216798\pi\) | |||||||
\(380\) | −13.8564 | + | 6.92820i | −0.710819 | + | 0.355409i | ||||
\(381\) | 15.0263 | + | 26.0263i | 0.769820 | + | 1.33337i | ||||
\(382\) | −3.12436 | + | 3.12436i | −0.159856 | + | 0.159856i | ||||
\(383\) | −7.33013 | + | 1.96410i | −0.374552 | + | 0.100361i | −0.441184 | − | 0.897417i | \(-0.645441\pi\) |
0.0666319 | + | 0.997778i | \(0.478775\pi\) | |||||||
\(384\) | 10.9282 | − | 18.9282i | 0.557678 | − | 0.965926i | ||||
\(385\) | 4.29423 | − | 0.562178i | 0.218854 | − | 0.0286512i | ||||
\(386\) | −14.6603 | − | 8.46410i | −0.746187 | − | 0.430811i | ||||
\(387\) | −0.633975 | − | 2.36603i | −0.0322267 | − | 0.120272i | ||||
\(388\) | −17.1244 | + | 4.58846i | −0.869357 | + | 0.232944i | ||||
\(389\) | 7.53590 | + | 13.0526i | 0.382085 | + | 0.661791i | 0.991360 | − | 0.131168i | \(-0.0418727\pi\) |
−0.609275 | + | 0.792959i | \(0.708539\pi\) | |||||||
\(390\) | 5.19615 | + | 25.3923i | 0.263117 | + | 1.28579i | ||||
\(391\) | 6.58846i | 0.333193i | ||||||||
\(392\) | −2.33975 | − | 19.6603i | −0.118175 | − | 0.992993i | ||||
\(393\) | 10.1962 | − | 10.1962i | 0.514328 | − | 0.514328i | ||||
\(394\) | 9.58846 | − | 5.53590i | 0.483059 | − | 0.278895i | ||||
\(395\) | 15.9282 | − | 24.1244i | 0.801435 | − | 1.21383i | ||||
\(396\) | −0.928203 | − | 0.535898i | −0.0466440 | − | 0.0269299i | ||||
\(397\) | 21.7583 | − | 5.83013i | 1.09202 | − | 0.292606i | 0.332508 | − | 0.943100i | \(-0.392105\pi\) |
0.759511 | + | 0.650495i | \(0.225438\pi\) | |||||||
\(398\) | 1.26795 | + | 4.73205i | 0.0635566 | + | 0.237196i | ||||
\(399\) | 15.9282 | − | 7.73205i | 0.797408 | − | 0.387087i | ||||
\(400\) | −7.85641 | − | 18.3923i | −0.392820 | − | 0.919615i | ||||
\(401\) | 15.3564 | − | 26.5981i | 0.766862 | − | 1.32824i | −0.172394 | − | 0.985028i | \(-0.555150\pi\) |
0.939256 | − | 0.343216i | \(-0.111516\pi\) | |||||||
\(402\) | −7.73205 | − | 7.73205i | −0.385640 | − | 0.385640i | ||||
\(403\) | −11.1962 | + | 41.7846i | −0.557720 | + | 2.08144i | ||||
\(404\) | 20.2487i | 1.00741i | ||||||||
\(405\) | −21.3205 | + | 10.6603i | −1.05942 | + | 0.529712i | ||||
\(406\) | 9.36603 | − | 13.8301i | 0.464828 | − | 0.686378i | ||||
\(407\) | −3.46410 | − | 3.46410i | −0.171709 | − | 0.171709i | ||||
\(408\) | −6.00000 | − | 22.3923i | −0.297044 | − | 1.10858i | ||||
\(409\) | −5.69615 | − | 9.86603i | −0.281657 | − | 0.487844i | 0.690136 | − | 0.723679i | \(-0.257551\pi\) |
−0.971793 | + | 0.235836i | \(0.924217\pi\) | |||||||
\(410\) | −1.39230 | − | 0.464102i | −0.0687610 | − | 0.0229203i | ||||
\(411\) | −8.19615 | + | 14.1962i | −0.404286 | + | 0.700245i | ||||
\(412\) | 24.8564 | + | 6.66025i | 1.22459 | + | 0.328127i | ||||
\(413\) | 4.46410 | + | 23.1962i | 0.219664 | + | 1.14141i | ||||
\(414\) | −0.803848 | + | 1.39230i | −0.0395070 | + | 0.0684280i | ||||
\(415\) | −9.57180 | − | 10.7942i | −0.469861 | − | 0.529868i | ||||
\(416\) | 20.7846 | + | 12.0000i | 1.01905 | + | 0.588348i | ||||
\(417\) | −0.633975 | + | 2.36603i | −0.0310459 | + | 0.115865i | ||||
\(418\) | 3.46410 | + | 0.928203i | 0.169435 | + | 0.0453999i | ||||
\(419\) | − | 2.39230i | − | 0.116872i | −0.998291 | − | 0.0584359i | \(-0.981389\pi\) | ||
0.998291 | − | 0.0584359i | \(-0.0186113\pi\) | |||||||
\(420\) | 8.73205 | + | 21.1244i | 0.426080 | + | 1.03076i | ||||
\(421\) | − | 30.1244i | − | 1.46817i | −0.679057 | − | 0.734086i | \(-0.737611\pi\) | ||
0.679057 | − | 0.734086i | \(-0.262389\pi\) | |||||||
\(422\) | −7.51666 | + | 28.0526i | −0.365905 | + | 1.36558i | ||||
\(423\) | −0.124356 | + | 0.464102i | −0.00604638 | + | 0.0225654i | ||||
\(424\) | 7.60770 | − | 4.39230i | 0.369462 | − | 0.213309i | ||||
\(425\) | −19.6865 | − | 7.90192i | −0.954937 | − | 0.383300i | ||||
\(426\) | −36.5885 | − | 21.1244i | −1.77272 | − | 1.02348i | ||||
\(427\) | 17.1962 | + | 19.8564i | 0.832180 | + | 0.960919i | ||||
\(428\) | 2.85641 | − | 10.6603i | 0.138070 | − | 0.515283i | ||||
\(429\) | 3.00000 | − | 5.19615i | 0.144841 | − | 0.250873i | ||||
\(430\) | −9.46410 | + | 4.73205i | −0.456400 | + | 0.228200i | ||||
\(431\) | 6.63397 | + | 11.4904i | 0.319547 | + | 0.553472i | 0.980394 | − | 0.197049i | \(-0.0631358\pi\) |
−0.660846 | + | 0.750521i | \(0.729802\pi\) | |||||||
\(432\) | −4.53590 | + | 16.9282i | −0.218234 | + | 0.814459i | ||||
\(433\) | 11.4641 | + | 11.4641i | 0.550930 | + | 0.550930i | 0.926709 | − | 0.375780i | \(-0.122625\pi\) |
−0.375780 | + | 0.926709i | \(0.622625\pi\) | |||||||
\(434\) | −2.73205 | + | 38.0526i | −0.131143 | + | 1.82658i | ||||
\(435\) | −6.09808 | + | 18.2942i | −0.292380 | + | 0.877141i | ||||
\(436\) | − | 8.53590i | − | 0.408795i | ||||||
\(437\) | 1.39230 | − | 5.19615i | 0.0666030 | − | 0.248566i | ||||
\(438\) | 16.1962 | − | 16.1962i | 0.773882 | − | 0.773882i | ||||
\(439\) | 2.66025 | − | 4.60770i | 0.126967 | − | 0.219913i | −0.795533 | − | 0.605910i | \(-0.792809\pi\) |
0.922500 | + | 0.385997i | \(0.126142\pi\) | |||||||
\(440\) | −1.46410 | + | 4.39230i | −0.0697983 | + | 0.209395i | ||||
\(441\) | −1.90192 | − | 4.75833i | −0.0905678 | − | 0.226587i | ||||
\(442\) | 24.5885 | − | 6.58846i | 1.16955 | − | 0.313381i | ||||
\(443\) | −33.3564 | + | 8.93782i | −1.58481 | + | 0.424649i | −0.940411 | − | 0.340040i | \(-0.889559\pi\) |
−0.644400 | + | 0.764689i | \(0.722893\pi\) | |||||||
\(444\) | 12.9282 | − | 22.3923i | 0.613545 | − | 1.06269i | ||||
\(445\) | −32.0885 | − | 21.1865i | −1.52114 | − | 1.00434i | ||||
\(446\) | −7.92820 | − | 13.7321i | −0.375411 | − | 0.650231i | ||||
\(447\) | 30.9545 | − | 30.9545i | 1.46410 | − | 1.46410i | ||||
\(448\) | 20.0000 | + | 6.92820i | 0.944911 | + | 0.327327i | ||||
\(449\) | 23.1962i | 1.09469i | 0.836906 | + | 0.547347i | \(0.184362\pi\) | ||||
−0.836906 | + | 0.547347i | \(0.815638\pi\) | |||||||
\(450\) | −3.19615 | − | 4.07180i | −0.150668 | − | 0.191946i | ||||
\(451\) | 0.169873 | + | 0.294229i | 0.00799901 | + | 0.0138547i | ||||
\(452\) | 6.92820 | − | 1.85641i | 0.325875 | − | 0.0873180i | ||||
\(453\) | 6.90192 | + | 25.7583i | 0.324281 | + | 1.21023i | ||||
\(454\) | 9.39230 | − | 16.2679i | 0.440803 | − | 0.763493i | ||||
\(455\) | −23.1962 | + | 9.58846i | −1.08745 | + | 0.449514i | ||||
\(456\) | 18.9282i | 0.886394i | ||||||||
\(457\) | 13.9282 | − | 3.73205i | 0.651534 | − | 0.174578i | 0.0821116 | − | 0.996623i | \(-0.473834\pi\) |
0.569422 | + | 0.822045i | \(0.307167\pi\) | |||||||
\(458\) | −15.4641 | − | 15.4641i | −0.722590 | − | 0.722590i | ||||
\(459\) | 9.29423 | + | 16.0981i | 0.433817 | + | 0.751394i | ||||
\(460\) | 6.58846 | + | 2.19615i | 0.307188 | + | 0.102396i | ||||
\(461\) | 12.1436 | 0.565584 | 0.282792 | − | 0.959181i | \(-0.408739\pi\) | ||||
0.282792 | + | 0.959181i | \(0.408739\pi\) | |||||||
\(462\) | 1.73205 | − | 5.00000i | 0.0805823 | − | 0.232621i | ||||
\(463\) | 0.830127 | − | 0.830127i | 0.0385793 | − | 0.0385793i | −0.687554 | − | 0.726133i | \(-0.741316\pi\) |
0.726133 | + | 0.687554i | \(0.241316\pi\) | |||||||
\(464\) | 8.92820 | + | 15.4641i | 0.414481 | + | 0.717903i | ||||
\(465\) | −8.83013 | − | 43.1506i | −0.409487 | − | 2.00106i | ||||
\(466\) | − | 10.3923i | − | 0.481414i | ||||||
\(467\) | −6.23205 | + | 1.66987i | −0.288385 | + | 0.0772725i | −0.400111 | − | 0.916466i | \(-0.631029\pi\) |
0.111727 | + | 0.993739i | \(0.464362\pi\) | |||||||
\(468\) | 6.00000 | + | 1.60770i | 0.277350 | + | 0.0743157i | ||||
\(469\) | 5.93782 | − | 8.76795i | 0.274183 | − | 0.404866i | ||||
\(470\) | 2.07180 | + | 0.124356i | 0.0955649 | + | 0.00573610i | ||||
\(471\) | −17.0263 | + | 29.4904i | −0.784530 | + | 1.35885i | ||||
\(472\) | −24.3923 | − | 6.53590i | −1.12275 | − | 0.300839i | ||||
\(473\) | 2.36603 | + | 0.633975i | 0.108790 | + | 0.0291502i | ||||
\(474\) | −17.6603 | − | 30.5885i | −0.811162 | − | 1.40497i | ||||
\(475\) | 13.8564 | + | 10.3923i | 0.635776 | + | 0.476832i | ||||
\(476\) | 20.1962 | − | 9.80385i | 0.925689 | − | 0.449359i | ||||
\(477\) | 1.60770 | − | 1.60770i | 0.0736113 | − | 0.0736113i | ||||
\(478\) | −1.73205 | + | 6.46410i | −0.0792222 | + | 0.295661i | ||||
\(479\) | −1.90192 | − | 3.29423i | −0.0869011 | − | 0.150517i | 0.819299 | − | 0.573367i | \(-0.194363\pi\) |
−0.906200 | + | 0.422850i | \(0.861030\pi\) | |||||||
\(480\) | −24.3923 | − | 1.46410i | −1.11335 | − | 0.0668268i | ||||
\(481\) | 24.5885 | + | 14.1962i | 1.12114 | + | 0.647289i | ||||
\(482\) | −27.8564 | + | 7.46410i | −1.26882 | + | 0.339981i | ||||
\(483\) | −7.50000 | − | 2.59808i | −0.341262 | − | 0.118217i | ||||
\(484\) | −18.1244 | + | 10.4641i | −0.823834 | + | 0.475641i | ||||
\(485\) | 13.1506 | + | 14.8301i | 0.597140 | + | 0.673401i | ||||
\(486\) | 10.5359i | 0.477918i | ||||||||
\(487\) | 5.09808 | − | 19.0263i | 0.231016 | − | 0.862163i | −0.748889 | − | 0.662696i | \(-0.769412\pi\) |
0.979905 | − | 0.199467i | \(-0.0639211\pi\) | |||||||
\(488\) | −27.1244 | + | 7.26795i | −1.22786 | + | 0.329005i | ||||
\(489\) | −7.26795 | −0.328668 | ||||||||
\(490\) | −18.4904 | + | 12.1699i | −0.835310 | + | 0.549779i | ||||
\(491\) | − | 12.1962i | − | 0.550405i | −0.961386 | − | 0.275202i | \(-0.911255\pi\) | ||
0.961386 | − | 0.275202i | \(-0.0887448\pi\) | |||||||
\(492\) | −1.26795 | + | 1.26795i | −0.0571636 | + | 0.0571636i | ||||
\(493\) | 18.2942 | + | 4.90192i | 0.823931 | + | 0.220772i | ||||
\(494\) | −20.7846 | −0.935144 | ||||||||
\(495\) | −0.0717968 | + | 1.19615i | −0.00322702 | + | 0.0537631i | ||||
\(496\) | −35.3205 | − | 20.3923i | −1.58594 | − | 0.915642i | ||||
\(497\) | 13.3923 | − | 38.6603i | 0.600727 | − | 1.73415i | ||||
\(498\) | −17.0263 | + | 4.56218i | −0.762966 | + | 0.204436i | ||||
\(499\) | −6.75833 | + | 11.7058i | −0.302544 | + | 0.524022i | −0.976712 | − | 0.214556i | \(-0.931169\pi\) |
0.674167 | + | 0.738579i | \(0.264503\pi\) | |||||||
\(500\) | −14.4641 | + | 17.0526i | −0.646854 | + | 0.762614i | ||||
\(501\) | 7.79423 | − | 4.50000i | 0.348220 | − | 0.201045i | ||||
\(502\) | 26.8564 | + | 7.19615i | 1.19866 | + | 0.321180i | ||||
\(503\) | 22.6865 | + | 22.6865i | 1.01154 | + | 1.01154i | 0.999933 | + | 0.0116099i | \(0.00369564\pi\) |
0.0116099 | + | 0.999933i | \(0.496304\pi\) | |||||||
\(504\) | 5.46410 | + | 0.392305i | 0.243390 | + | 0.0174746i | ||||
\(505\) | 20.2487 | − | 10.1244i | 0.901056 | − | 0.450528i | ||||
\(506\) | −0.803848 | − | 1.39230i | −0.0357354 | − | 0.0618955i | ||||
\(507\) | −2.50000 | + | 9.33013i | −0.111029 | + | 0.414365i | ||||
\(508\) | −8.05256 | − | 30.0526i | −0.357275 | − | 1.33337i | ||||
\(509\) | −9.57180 | − | 5.52628i | −0.424262 | − | 0.244948i | 0.272637 | − | 0.962117i | \(-0.412104\pi\) |
−0.696899 | + | 0.717169i | \(0.745438\pi\) | |||||||
\(510\) | −19.3923 | + | 17.1962i | −0.858706 | + | 0.761458i | ||||
\(511\) | 18.3660 | + | 12.4378i | 0.812465 | + | 0.550217i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.707107 | + | 0.707107i | ||||
\(513\) | −3.92820 | − | 14.6603i | −0.173434 | − | 0.647266i | ||||
\(514\) | 37.8564i | 1.66977i | ||||||||
\(515\) | −5.76795 | − | 28.1865i | −0.254166 | − | 1.24205i | ||||
\(516\) | 12.9282i | 0.569132i | ||||||||
\(517\) | −0.339746 | − | 0.339746i | −0.0149420 | − | 0.0149420i | ||||
\(518\) | 23.6603 | + | 8.19615i | 1.03957 | + | 0.360118i | ||||
\(519\) | − | 0.928203i | − | 0.0407436i | ||||||
\(520\) | 1.60770 | − | 26.7846i | 0.0705021 | − | 1.17458i | ||||
\(521\) | 7.39230 | − | 4.26795i | 0.323863 | − | 0.186982i | −0.329250 | − | 0.944243i | \(-0.606796\pi\) |
0.653113 | + | 0.757260i | \(0.273463\pi\) | |||||||
\(522\) | 3.26795 | + | 3.26795i | 0.143034 | + | 0.143034i | ||||
\(523\) | −6.50962 | − | 24.2942i | −0.284646 | − | 1.06231i | −0.949098 | − | 0.314982i | \(-0.898002\pi\) |
0.664452 | − | 0.747331i | \(-0.268665\pi\) | |||||||
\(524\) | −12.9282 | + | 7.46410i | −0.564771 | + | 0.326071i | ||||
\(525\) | 16.7583 | − | 19.2942i | 0.731393 | − | 0.842069i | ||||
\(526\) | 0.509619 | + | 0.294229i | 0.0222204 | + | 0.0128290i | ||||
\(527\) | −41.7846 | + | 11.1962i | −1.82017 | + | 0.487712i | ||||
\(528\) | 4.00000 | + | 4.00000i | 0.174078 | + | 0.174078i | ||||
\(529\) | 17.8301 | − | 10.2942i | 0.775223 | − | 0.447575i | ||||
\(530\) | −8.19615 | − | 5.41154i | −0.356018 | − | 0.235062i | ||||
\(531\) | −6.53590 | −0.283634 | ||||||||
\(532\) | −18.0000 | + | 3.46410i | −0.780399 | + | 0.150188i | ||||
\(533\) | −1.39230 | − | 1.39230i | −0.0603074 | − | 0.0603074i | ||||
\(534\) | −40.6865 | + | 23.4904i | −1.76068 | + | 1.01653i | ||||
\(535\) | −12.0885 | + | 2.47372i | −0.522630 | + | 0.106948i | ||||
\(536\) | 5.66025 | + | 9.80385i | 0.244486 | + | 0.423462i | ||||
\(537\) | 7.02628 | + | 26.2224i | 0.303206 | + | 1.13158i | ||||
\(538\) | 4.83013 | − | 1.29423i | 0.208242 | − | 0.0557982i | ||||
\(539\) | 5.07180 | + | 0.732051i | 0.218458 | + | 0.0315317i | ||||
\(540\) | 19.1962 | − | 3.92820i | 0.826071 | − | 0.169043i | ||||
\(541\) | −1.79423 | − | 1.03590i | −0.0771399 | − | 0.0445368i | 0.460934 | − | 0.887434i | \(-0.347515\pi\) |
−0.538074 | + | 0.842898i | \(0.680848\pi\) | |||||||
\(542\) | 12.0000 | + | 12.0000i | 0.515444 | + | 0.515444i | ||||
\(543\) | 42.0167 | + | 11.2583i | 1.80311 | + | 0.483141i | ||||
\(544\) | 24.0000i | 1.02899i | ||||||||
\(545\) | −8.53590 | + | 4.26795i | −0.365638 | + | 0.182819i | ||||
\(546\) | −2.19615 | + | 30.5885i | −0.0939866 | + | 1.30907i | ||||
\(547\) | 14.4904 | − | 14.4904i | 0.619564 | − | 0.619564i | −0.325856 | − | 0.945420i | \(-0.605652\pi\) |
0.945420 | + | 0.325856i | \(0.105652\pi\) | |||||||
\(548\) | 12.0000 | − | 12.0000i | 0.512615 | − | 0.512615i | ||||
\(549\) | −6.29423 | + | 3.63397i | −0.268631 | + | 0.155094i | ||||
\(550\) | 5.12436 | − | 0.732051i | 0.218503 | − | 0.0312148i | ||||
\(551\) | −13.3923 | − | 7.73205i | −0.570531 | − | 0.329396i | ||||
\(552\) | 6.00000 | − | 6.00000i | 0.255377 | − | 0.255377i | ||||
\(553\) | 25.8564 | − | 22.3923i | 1.09953 | − | 0.952218i | ||||
\(554\) | 23.7846 | + | 13.7321i | 1.01051 | + | 0.583419i | ||||
\(555\) | −28.8564 | − | 1.73205i | −1.22489 | − | 0.0735215i | ||||
\(556\) | 1.26795 | − | 2.19615i | 0.0537730 | − | 0.0931376i | ||||
\(557\) | 30.7583 | + | 8.24167i | 1.30327 | + | 0.349211i | 0.842687 | − | 0.538404i | \(-0.180973\pi\) |
0.460586 | + | 0.887615i | \(0.347639\pi\) | |||||||
\(558\) | −10.1962 | − | 2.73205i | −0.431638 | − | 0.115657i | ||||
\(559\) | −14.1962 | −0.600433 | ||||||||
\(560\) | −3.07180 | − | 23.4641i | −0.129807 | − | 0.991539i | ||||
\(561\) | 6.00000 | 0.253320 | ||||||||
\(562\) | −33.1244 | − | 8.87564i | −1.39727 | − | 0.374396i | ||||
\(563\) | 26.3564 | + | 7.06218i | 1.11079 | + | 0.297635i | 0.767151 | − | 0.641466i | \(-0.221674\pi\) |
0.343639 | + | 0.939102i | \(0.388340\pi\) | |||||||
\(564\) | 1.26795 | − | 2.19615i | 0.0533903 | − | 0.0924747i | ||||
\(565\) | −5.32051 | − | 6.00000i | −0.223835 | − | 0.252422i | ||||
\(566\) | −17.1962 | − | 9.92820i | −0.722808 | − | 0.417314i | ||||
\(567\) | −27.6962 | + | 5.33013i | −1.16313 | + | 0.223844i | ||||
\(568\) | 30.9282 | + | 30.9282i | 1.29772 | + | 1.29772i | ||||
\(569\) | −18.8038 | − | 10.8564i | −0.788298 | − | 0.455124i | 0.0510648 | − | 0.998695i | \(-0.483738\pi\) |
−0.839363 | + | 0.543571i | \(0.817072\pi\) | |||||||
\(570\) | 18.9282 | − | 9.46410i | 0.792815 | − | 0.396408i | ||||
\(571\) | 14.7846 | − | 8.53590i | 0.618717 | − | 0.357216i | −0.157653 | − | 0.987495i | \(-0.550393\pi\) |
0.776369 | + | 0.630278i | \(0.217059\pi\) | |||||||
\(572\) | −4.39230 | + | 4.39230i | −0.183651 | + | 0.183651i | ||||
\(573\) | 4.26795 | − | 4.26795i | 0.178296 | − | 0.178296i | ||||
\(574\) | −1.43782 | − | 0.973721i | −0.0600135 | − | 0.0406423i | ||||
\(575\) | −1.09808 | − | 7.68653i | −0.0457929 | − | 0.320551i | ||||
\(576\) | −2.92820 | + | 5.07180i | −0.122008 | + | 0.211325i | ||||
\(577\) | −16.4904 | − | 4.41858i | −0.686504 | − | 0.183948i | −0.101326 | − | 0.994853i | \(-0.532309\pi\) |
−0.585178 | + | 0.810905i | \(0.698975\pi\) | |||||||
\(578\) | 1.00000 | + | 1.00000i | 0.0415945 | + | 0.0415945i | ||||
\(579\) | 20.0263 | + | 11.5622i | 0.832264 | + | 0.480508i | ||||
\(580\) | 11.0000 | − | 16.6603i | 0.456750 | − | 0.691779i | ||||
\(581\) | −7.45448 | − | 15.3564i | −0.309264 | − | 0.637091i | ||||
\(582\) | 23.3923 | − | 6.26795i | 0.969642 | − | 0.259815i | ||||
\(583\) | 0.588457 | + | 2.19615i | 0.0243714 | + | 0.0909553i | ||||
\(584\) | −20.5359 | + | 11.8564i | −0.849782 | + | 0.490622i | ||||
\(585\) | −1.39230 | − | 6.80385i | −0.0575647 | − | 0.281304i | ||||
\(586\) | −7.26795 | + | 4.19615i | −0.300236 | + | 0.173341i | ||||
\(587\) | −9.00000 | − | 9.00000i | −0.371470 | − | 0.371470i | 0.496543 | − | 0.868012i | \(-0.334603\pi\) |
−0.868012 | + | 0.496543i | \(0.834603\pi\) | |||||||
\(588\) | 3.19615 | + | 26.8564i | 0.131807 | + | 1.10754i | ||||
\(589\) | 35.3205 | 1.45536 | ||||||||
\(590\) | 5.66025 | + | 27.6603i | 0.233029 | + | 1.13875i | ||||
\(591\) | −13.0981 | + | 7.56218i | −0.538783 | + | 0.311066i | ||||
\(592\) | −18.9282 | + | 18.9282i | −0.777944 | + | 0.777944i | ||||
\(593\) | −14.1962 | + | 3.80385i | −0.582966 | + | 0.156205i | −0.538237 | − | 0.842794i | \(-0.680909\pi\) |
−0.0447296 | + | 0.998999i | \(0.514243\pi\) | |||||||
\(594\) | −3.92820 | − | 2.26795i | −0.161176 | − | 0.0930551i | ||||
\(595\) | −19.9019 | − | 15.2942i | −0.815899 | − | 0.627002i | ||||
\(596\) | −39.2487 | + | 22.6603i | −1.60769 | + | 0.928200i | ||||
\(597\) | −1.73205 | − | 6.46410i | −0.0708881 | − | 0.264558i | ||||
\(598\) | 6.58846 | + | 6.58846i | 0.269422 | + | 0.269422i | ||||
\(599\) | −21.0000 | + | 12.1244i | −0.858037 | + | 0.495388i | −0.863354 | − | 0.504598i | \(-0.831641\pi\) |
0.00531761 | + | 0.999986i | \(0.498307\pi\) | |||||||
\(600\) | 10.7321 | + | 25.1244i | 0.438134 | + | 1.02570i | ||||
\(601\) | 28.3923i | 1.15815i | 0.815276 | + | 0.579073i | \(0.196585\pi\) | ||||
−0.815276 | + | 0.579073i | \(0.803415\pi\) | |||||||
\(602\) | −12.2942 | + | 2.36603i | −0.501075 | + | 0.0964320i | ||||
\(603\) | 2.07180 | + | 2.07180i | 0.0843701 | + | 0.0843701i | ||||
\(604\) | − | 27.6077i | − | 1.12334i | ||||||
\(605\) | 19.5263 | + | 12.8923i | 0.793856 | + | 0.524147i | ||||
\(606\) | − | 27.6603i | − | 1.12362i | ||||||
\(607\) | −6.16025 | − | 22.9904i | −0.250037 | − | 0.933151i | −0.970784 | − | 0.239953i | \(-0.922868\pi\) |
0.720747 | − | 0.693198i | \(-0.243799\pi\) | |||||||
\(608\) | 5.07180 | − | 18.9282i | 0.205689 | − | 0.767640i | ||||
\(609\) | −12.7942 | + | 18.8923i | −0.518448 | + | 0.765555i | ||||
\(610\) | 20.8301 | + | 23.4904i | 0.843387 | + | 0.951098i | ||||
\(611\) | 2.41154 | + | 1.39230i | 0.0975606 | + | 0.0563266i | ||||
\(612\) | 1.60770 | + | 6.00000i | 0.0649872 | + | 0.242536i | ||||
\(613\) | 1.43782 | − | 5.36603i | 0.0580731 | − | 0.216732i | −0.930791 | − | 0.365551i | \(-0.880881\pi\) |
0.988864 | + | 0.148819i | \(0.0475473\pi\) | |||||||
\(614\) | 0.758330 | + | 1.31347i | 0.0306037 | + | 0.0530072i | ||||
\(615\) | 1.90192 | + | 0.633975i | 0.0766930 | + | 0.0255643i | ||||
\(616\) | −3.07180 | + | 4.53590i | −0.123766 | + | 0.182757i | ||||
\(617\) | −0.928203 | − | 0.928203i | −0.0373681 | − | 0.0373681i | 0.688176 | − | 0.725544i | \(-0.258412\pi\) |
−0.725544 | + | 0.688176i | \(0.758412\pi\) | |||||||
\(618\) | −33.9545 | − | 9.09808i | −1.36585 | − | 0.365978i | ||||
\(619\) | −15.2942 | + | 8.83013i | −0.614727 | + | 0.354913i | −0.774813 | − | 0.632190i | \(-0.782156\pi\) |
0.160086 | + | 0.987103i | \(0.448823\pi\) | |||||||
\(620\) | −2.73205 | + | 45.5167i | −0.109722 | + | 1.82799i | ||||
\(621\) | −3.40192 | + | 5.89230i | −0.136514 | + | 0.236450i | ||||
\(622\) | 34.0526 | − | 9.12436i | 1.36538 | − | 0.365853i | ||||
\(623\) | −29.7846 | − | 34.3923i | −1.19330 | − | 1.37790i | ||||
\(624\) | −28.3923 | − | 16.3923i | −1.13660 | − | 0.656217i | ||||
\(625\) | 24.2846 | + | 5.93782i | 0.971384 | + | 0.237513i | ||||
\(626\) | −23.6077 | −0.943553 | ||||||||
\(627\) | −4.73205 | − | 1.26795i | −0.188980 | − | 0.0506370i | ||||
\(628\) | 24.9282 | − | 24.9282i | 0.994744 | − | 0.994744i | ||||
\(629\) | 28.3923i | 1.13208i | ||||||||
\(630\) | −2.33975 | − | 5.66025i | −0.0932177 | − | 0.225510i | ||||
\(631\) | −7.26795 | −0.289332 | −0.144666 | − | 0.989481i | \(-0.546211\pi\) | ||||
−0.144666 | + | 0.989481i | \(0.546211\pi\) | |||||||
\(632\) | 9.46410 | + | 35.3205i | 0.376462 | + | 1.40497i | ||||
\(633\) | 10.2679 | − | 38.3205i | 0.408114 | − | 1.52310i | ||||
\(634\) | − | 6.39230i | − | 0.253871i | ||||||
\(635\) | −26.0263 | + | 23.0788i | −1.03282 | + | 0.915856i | ||||
\(636\) | −10.3923 | + | 6.00000i | −0.412082 | + | 0.237915i | ||||
\(637\) | −29.4904 | + | 3.50962i | −1.16845 | + | 0.139056i | ||||
\(638\) | −4.46410 | + | 1.19615i | −0.176735 | + | 0.0473561i | ||||
\(639\) | 9.80385 | + | 5.66025i | 0.387834 | + | 0.223916i | ||||
\(640\) | 24.0000 | + | 8.00000i | 0.948683 | + | 0.316228i | ||||
\(641\) | 16.3301 | + | 28.2846i | 0.645001 | + | 1.11717i | 0.984301 | + | 0.176497i | \(0.0564765\pi\) |
−0.339300 | + | 0.940678i | \(0.610190\pi\) | |||||||
\(642\) | −3.90192 | + | 14.5622i | −0.153997 | + | 0.574723i | ||||
\(643\) | −9.00000 | + | 9.00000i | −0.354925 | + | 0.354925i | −0.861938 | − | 0.507013i | \(-0.830750\pi\) |
0.507013 | + | 0.861938i | \(0.330750\pi\) | |||||||
\(644\) | 6.80385 | + | 4.60770i | 0.268109 | + | 0.181569i | ||||
\(645\) | 12.9282 | − | 6.46410i | 0.509048 | − | 0.254524i | ||||
\(646\) | −10.3923 | − | 18.0000i | −0.408880 | − | 0.708201i | ||||
\(647\) | 26.2583 | + | 7.03590i | 1.03232 | + | 0.276610i | 0.734928 | − | 0.678145i | \(-0.237216\pi\) |
0.297394 | + | 0.954755i | \(0.403883\pi\) | |||||||
\(648\) | 7.80385 | − | 29.1244i | 0.306564 | − | 1.14411i | ||||
\(649\) | 3.26795 | − | 5.66025i | 0.128278 | − | 0.222184i | ||||
\(650\) | −27.5885 | + | 11.7846i | −1.08211 | + | 0.462230i | ||||
\(651\) | 3.73205 | − | 51.9808i | 0.146271 | − | 2.03729i | ||||
\(652\) | 7.26795 | + | 1.94744i | 0.284635 | + | 0.0762677i | ||||
\(653\) | 31.4186 | − | 8.41858i | 1.22950 | − | 0.329445i | 0.415118 | − | 0.909768i | \(-0.363740\pi\) |
0.814386 | + | 0.580323i | \(0.197074\pi\) | |||||||
\(654\) | 11.6603i | 0.455952i | ||||||||
\(655\) | 13.9282 | + | 9.19615i | 0.544220 | + | 0.359323i | ||||
\(656\) | 1.60770 | − | 0.928203i | 0.0627700 | − | 0.0362402i | ||||
\(657\) | −4.33975 | + | 4.33975i | −0.169310 | + | 0.169310i | ||||
\(658\) | 2.32051 | + | 0.803848i | 0.0904628 | + | 0.0313372i | ||||
\(659\) | −39.3205 | −1.53171 | −0.765855 | − | 0.643014i | \(-0.777684\pi\) | ||||
−0.765855 | + | 0.643014i | \(0.777684\pi\) | |||||||
\(660\) | 2.00000 | − | 6.00000i | 0.0778499 | − | 0.233550i | ||||
\(661\) | 19.9641 | + | 34.5788i | 0.776514 | + | 1.34496i | 0.933940 | + | 0.357430i | \(0.116347\pi\) |
−0.157426 | + | 0.987531i | \(0.550320\pi\) | |||||||
\(662\) | −7.26795 | − | 7.26795i | −0.282477 | − | 0.282477i | ||||
\(663\) | −33.5885 | + | 9.00000i | −1.30447 | + | 0.349531i | ||||
\(664\) | 18.2487 | 0.708187 | ||||||||
\(665\) | 12.4641 | + | 16.2679i | 0.483337 | + | 0.630844i | ||||
\(666\) | −3.46410 | + | 6.00000i | −0.134231 | + | 0.232495i | ||||
\(667\) | 1.79423 | + | 6.69615i | 0.0694728 | + | 0.259276i | ||||
\(668\) | −9.00000 | + | 2.41154i | −0.348220 | + | 0.0933054i | ||||
\(669\) | 10.8301 | + | 18.7583i | 0.418717 | + | 0.725239i | ||||
\(670\) | 6.97372 | − | 10.5622i | 0.269418 | − | 0.408053i | ||||
\(671\) | − | 7.26795i | − | 0.280576i | ||||||
\(672\) | −27.3205 | − | 9.46410i | −1.05391 | − | 0.365086i | ||||
\(673\) | −10.1962 | + | 10.1962i | −0.393033 | + | 0.393033i | −0.875767 | − | 0.482734i | \(-0.839644\pi\) |
0.482734 | + | 0.875767i | \(0.339644\pi\) | |||||||
\(674\) | −19.6603 | − | 34.0526i | −0.757285 | − | 1.31166i | ||||
\(675\) | −13.5263 | − | 17.2321i | −0.520627 | − | 0.663262i | ||||
\(676\) | 5.00000 | − | 8.66025i | 0.192308 | − | 0.333087i | ||||
\(677\) | 4.56218 | − | 1.22243i | 0.175339 | − | 0.0469819i | −0.170081 | − | 0.985430i | \(-0.554403\pi\) |
0.345420 | + | 0.938448i | \(0.387736\pi\) | |||||||
\(678\) | −9.46410 | + | 2.53590i | −0.363467 | + | 0.0973906i | ||||
\(679\) | 10.2417 | + | 21.0981i | 0.393039 | + | 0.809670i | ||||
\(680\) | 24.0000 | − | 12.0000i | 0.920358 | − | 0.460179i | ||||
\(681\) | −12.8301 | + | 22.2224i | −0.491652 | + | 0.851565i | ||||
\(682\) | 7.46410 | − | 7.46410i | 0.285815 | − | 0.285815i | ||||
\(683\) | −7.86603 | + | 29.3564i | −0.300985 | + | 1.12329i | 0.635362 | + | 0.772215i | \(0.280851\pi\) |
−0.936347 | + | 0.351077i | \(0.885816\pi\) | |||||||
\(684\) | − | 5.07180i | − | 0.193925i | ||||||
\(685\) | −18.0000 | − | 6.00000i | −0.687745 | − | 0.229248i | ||||
\(686\) | −24.9545 | + | 7.95448i | −0.952767 | + | 0.303704i | ||||
\(687\) | 21.1244 | + | 21.1244i | 0.805944 | + | 0.805944i | ||||
\(688\) | 3.46410 | − | 12.9282i | 0.132068 | − | 0.492883i | ||||
\(689\) | −6.58846 | − | 11.4115i | −0.251000 | − | 0.434745i | ||||
\(690\) | −9.00000 | − | 3.00000i | −0.342624 | − | 0.114208i | ||||
\(691\) | −21.7583 | + | 37.6865i | −0.827726 | + | 1.43366i | 0.0720922 | + | 0.997398i | \(0.477032\pi\) |
−0.899818 | + | 0.436265i | \(0.856301\pi\) | |||||||
\(692\) | −0.248711 | + | 0.928203i | −0.00945459 | + | 0.0352850i | ||||
\(693\) | −0.464102 | + | 1.33975i | −0.0176298 | + | 0.0508927i | ||||
\(694\) | −44.2750 | − | 25.5622i | −1.68066 | − | 0.970327i | ||||
\(695\) | −2.83013 | − | 0.169873i | −0.107353 | − | 0.00644365i | ||||
\(696\) | −12.1962 | − | 21.1244i | −0.462294 | − | 0.800717i | ||||
\(697\) | 0.509619 | − | 1.90192i | 0.0193032 | − | 0.0720405i | ||||
\(698\) | 7.31347 | − | 27.2942i | 0.276819 | − | 1.03310i | ||||
\(699\) | 14.1962i | 0.536948i | ||||||||
\(700\) | −21.9282 | + | 14.8038i | −0.828808 | + | 0.559533i | ||||
\(701\) | − | 33.9808i | − | 1.28344i | −0.766941 | − | 0.641718i | \(-0.778222\pi\) | ||
0.766941 | − | 0.641718i | \(-0.221778\pi\) | |||||||
\(702\) | 25.3923 | + | 6.80385i | 0.958371 | + | 0.256795i | ||||
\(703\) | 6.00000 | − | 22.3923i | 0.226294 | − | 0.844542i | ||||
\(704\) | −2.92820 | − | 5.07180i | −0.110361 | − | 0.191151i | ||||
\(705\) | −2.83013 | − | 0.169873i | −0.106589 | − | 0.00639779i | ||||
\(706\) | −18.5885 | + | 32.1962i | −0.699586 | + | 1.21172i | ||||
\(707\) | 26.3038 | − | 5.06218i | 0.989258 | − | 0.190383i | ||||
\(708\) | 33.3205 | + | 8.92820i | 1.25226 | + | 0.335542i | ||||
\(709\) | −7.96410 | + | 13.7942i | −0.299098 | + | 0.518053i | −0.975930 | − | 0.218085i | \(-0.930019\pi\) |
0.676832 | + | 0.736138i | \(0.263352\pi\) | |||||||
\(710\) | 15.4641 | − | 46.3923i | 0.580357 | − | 1.74107i | ||||
\(711\) | 4.73205 | + | 8.19615i | 0.177466 | + | 0.307380i | ||||
\(712\) | 46.9808 | − | 12.5885i | 1.76068 | − | 0.471772i | ||||
\(713\) | −11.1962 | − | 11.1962i | −0.419299 | − | 0.419299i | ||||
\(714\) | −27.5885 | + | 13.3923i | −1.03247 | + | 0.501194i | ||||
\(715\) | 6.58846 | + | 2.19615i | 0.246394 | + | 0.0821314i | ||||
\(716\) | − | 28.1051i | − | 1.05034i | ||||||
\(717\) | 2.36603 | − | 8.83013i | 0.0883608 | − | 0.329767i | ||||
\(718\) | −4.73205 | − | 4.73205i | −0.176599 | − | 0.176599i | ||||
\(719\) | 5.36603 | − | 9.29423i | 0.200119 | − | 0.346616i | −0.748448 | − | 0.663194i | \(-0.769200\pi\) |
0.948567 | + | 0.316578i | \(0.102534\pi\) | |||||||
\(720\) | 6.53590 | + | 0.392305i | 0.243579 | + | 0.0146203i | ||||
\(721\) | 2.43782 | − | 33.9545i | 0.0907892 | − | 1.26453i | ||||
\(722\) | −2.56218 | − | 9.56218i | −0.0953544 | − | 0.355867i | ||||
\(723\) | 38.0526 | − | 10.1962i | 1.41519 | − | 0.379199i | ||||
\(724\) | −39.0000 | − | 22.5167i | −1.44942 | − | 0.836825i | ||||
\(725\) | −22.1603 | − | 2.66987i | −0.823011 | − | 0.0991566i | ||||
\(726\) | 24.7583 | − | 14.2942i | 0.918868 | − | 0.530509i | ||||
\(727\) | 17.2942 | − | 17.2942i | 0.641407 | − | 0.641407i | −0.309494 | − | 0.950901i | \(-0.600160\pi\) |
0.950901 | + | 0.309494i | \(0.100160\pi\) | |||||||
\(728\) | 10.3923 | − | 30.0000i | 0.385164 | − | 1.11187i | ||||
\(729\) | 17.5885i | 0.651424i | ||||||||
\(730\) | 22.1244 | + | 14.6077i | 0.818859 | + | 0.540655i | ||||
\(731\) | −7.09808 | − | 12.2942i | −0.262532 | − | 0.454718i | ||||
\(732\) | 37.0526 | − | 9.92820i | 1.36950 | − | 0.366957i | ||||
\(733\) | 5.70577 | + | 21.2942i | 0.210747 | + | 0.786520i | 0.987620 | + | 0.156863i | \(0.0501381\pi\) |
−0.776873 | + | 0.629657i | \(0.783195\pi\) | |||||||
\(734\) | 10.2224 | + | 5.90192i | 0.377317 | + | 0.217844i | ||||
\(735\) | 25.2583 | − | 16.6244i | 0.931668 | − | 0.613199i | ||||
\(736\) | −7.60770 | + | 4.39230i | −0.280423 | + | 0.161903i | ||||
\(737\) | −2.83013 | + | 0.758330i | −0.104249 | + | 0.0279335i | ||||
\(738\) | 0.339746 | − | 0.339746i | 0.0125062 | − | 0.0125062i | ||||
\(739\) | −5.83013 | − | 10.0981i | −0.214465 | − | 0.371464i | 0.738642 | − | 0.674098i | \(-0.235467\pi\) |
−0.953107 | + | 0.302634i | \(0.902134\pi\) | |||||||
\(740\) | 28.3923 | + | 9.46410i | 1.04372 | + | 0.347907i | ||||
\(741\) | 28.3923 | 1.04302 | ||||||||
\(742\) | −7.60770 | − | 8.78461i | −0.279287 | − | 0.322493i | ||||
\(743\) | −33.4186 | + | 33.4186i | −1.22601 | + | 1.22601i | −0.260548 | + | 0.965461i | \(0.583903\pi\) |
−0.965461 | + | 0.260548i | \(0.916097\pi\) | |||||||
\(744\) | 48.2487 | + | 27.8564i | 1.76888 | + | 1.02127i | ||||
\(745\) | 42.2846 | + | 27.9186i | 1.54919 | + | 1.02286i | ||||
\(746\) | 13.8564 | 0.507319 | ||||||||
\(747\) | 4.56218 | − | 1.22243i | 0.166921 | − | 0.0447264i | ||||
\(748\) | −6.00000 | − | 1.60770i | −0.219382 | − | 0.0587832i | ||||
\(749\) | −14.5622 | − | 1.04552i | −0.532090 | − | 0.0382024i | ||||
\(750\) | 19.7583 | − | 23.2942i | 0.721472 | − | 0.850585i | ||||
\(751\) | 5.19615 | − | 9.00000i | 0.189610 | − | 0.328415i | −0.755510 | − | 0.655137i | \(-0.772611\pi\) |
0.945120 | + | 0.326722i | \(0.105944\pi\) | |||||||
\(752\) | −1.85641 | + | 1.85641i | −0.0676962 | + | 0.0676962i | ||||
\(753\) | −36.6865 | − | 9.83013i | −1.33693 | − | 0.358230i | ||||
\(754\) | 23.1962 | − | 13.3923i | 0.844754 | − | 0.487719i | ||||
\(755\) | −27.6077 | + | 13.8038i | −1.00475 | + | 0.502373i | ||||
\(756\) | 23.1244 | + | 1.66025i | 0.841025 | + | 0.0603829i | ||||
\(757\) | −37.0526 | + | 37.0526i | −1.34670 | + | 1.34670i | −0.457476 | + | 0.889222i | \(0.651247\pi\) |
−0.889222 | + | 0.457476i | \(0.848753\pi\) | |||||||
\(758\) | 41.3205 | + | 11.0718i | 1.50083 | + | 0.402146i | ||||
\(759\) | 1.09808 | + | 1.90192i | 0.0398576 | + | 0.0690355i | ||||
\(760\) | −21.4641 | + | 4.39230i | −0.778585 | + | 0.159326i | ||||
\(761\) | −30.8038 | − | 17.7846i | −1.11664 | − | 0.644692i | −0.176098 | − | 0.984373i | \(-0.556348\pi\) |
−0.940541 | + | 0.339681i | \(0.889681\pi\) | |||||||
\(762\) | 11.0000 | + | 41.0526i | 0.398488 | + | 1.48718i | ||||
\(763\) | −11.0885 | + | 2.13397i | −0.401429 | + | 0.0772551i | ||||
\(764\) | −5.41154 | + | 3.12436i | −0.195783 | + | 0.113035i | ||||
\(765\) | 5.19615 | − | 4.60770i | 0.187867 | − | 0.166592i | ||||
\(766\) | −10.7321 | −0.387765 | ||||||||
\(767\) | −9.80385 | + | 36.5885i | −0.353996 | + | 1.32113i | ||||
\(768\) | 21.8564 | − | 21.8564i | 0.788675 | − | 0.788675i | ||||
\(769\) | −22.6410 | −0.816456 | −0.408228 | − | 0.912880i | \(-0.633853\pi\) | ||||
−0.408228 | + | 0.912880i | \(0.633853\pi\) | |||||||
\(770\) | 6.07180 | + | 0.803848i | 0.218812 | + | 0.0289687i | ||||
\(771\) | − | 51.7128i | − | 1.86239i | ||||||
\(772\) | −16.9282 | − | 16.9282i | −0.609259 | − | 0.609259i | ||||
\(773\) | −13.0981 | − | 3.50962i | −0.471105 | − | 0.126232i | 0.0154528 | − | 0.999881i | \(-0.495081\pi\) |
−0.486558 | + | 0.873648i | \(0.661748\pi\) | |||||||
\(774\) | − | 3.46410i | − | 0.124515i | ||||||
\(775\) | 46.8827 | − | 20.0263i | 1.68408 | − | 0.719365i | ||||
\(776\) | −25.0718 | −0.900025 | ||||||||
\(777\) | −32.3205 | − | 11.1962i | −1.15949 | − | 0.401660i | ||||
\(778\) | 5.51666 | + | 20.5885i | 0.197782 | + | 0.738132i | ||||
\(779\) | −0.803848 | + | 1.39230i | −0.0288008 | + | 0.0498845i | ||||
\(780\) | −2.19615 | + | 36.5885i | −0.0786349 | + | 1.31008i | ||||
\(781\) | −9.80385 | + | 5.66025i | −0.350809 | + | 0.202540i | ||||
\(782\) | −2.41154 | + | 9.00000i | −0.0862366 | + | 0.321839i | ||||
\(783\) | 13.8301 | + | 13.8301i | 0.494248 | + | 0.494248i | ||||
\(784\) | 4.00000 | − | 27.7128i | 0.142857 | − | 0.989743i | ||||
\(785\) | −37.3923 | − | 12.4641i | −1.33459 | − | 0.444863i | ||||
\(786\) | 17.6603 | − | 10.1962i | 0.629920 | − | 0.363685i | ||||
\(787\) | 2.72243 | − | 10.1603i | 0.0970442 | − | 0.362174i | −0.900277 | − | 0.435317i | \(-0.856636\pi\) |
0.997321 | + | 0.0731430i | \(0.0233030\pi\) | |||||||
\(788\) | 15.1244 | − | 4.05256i | 0.538783 | − | 0.144366i | ||||
\(789\) | −0.696152 | − | 0.401924i | −0.0247837 | − | 0.0143089i | ||||
\(790\) | 30.5885 | − | 27.1244i | 1.08829 | − | 0.965041i | ||||
\(791\) | −4.14359 | − | 8.53590i | −0.147329 | − | 0.303502i | ||||
\(792\) | −1.07180 | − | 1.07180i | −0.0380846 | − | 0.0380846i | ||||
\(793\) | 10.9019 | + | 40.6865i | 0.387139 | + | 1.44482i | ||||
\(794\) | 31.8564 | 1.13054 | ||||||||
\(795\) | 11.1962 | + | 7.39230i | 0.397087 | + | 0.262178i | ||||
\(796\) | 6.92820i | 0.245564i | ||||||||
\(797\) | 0.928203 | + | 0.928203i | 0.0328786 | + | 0.0328786i | 0.723355 | − | 0.690476i | \(-0.242599\pi\) |
−0.690476 | + | 0.723355i | \(0.742599\pi\) | |||||||
\(798\) | 24.5885 | − | 4.73205i | 0.870422 | − | 0.167513i | ||||
\(799\) | 2.78461i | 0.0985124i | ||||||||
\(800\) | −4.00000 | − | 28.0000i | −0.141421 | − | 0.989949i | ||||
\(801\) | 10.9019 | − | 6.29423i | 0.385201 | − | 0.222396i | ||||
\(802\) | 30.7128 | − | 30.7128i | 1.08451 | − | 1.08451i | ||||
\(803\) | −1.58846 | − | 5.92820i | −0.0560554 | − | 0.209202i | ||||
\(804\) | −7.73205 | − | 13.3923i | −0.272688 | − | 0.472310i | ||||
\(805\) | 1.20577 | − | 9.10770i | 0.0424979 | − | 0.321004i | ||||
\(806\) | −30.5885 | + | 52.9808i | −1.07743 | + | 1.86617i | ||||
\(807\) | −6.59808 | + | 1.76795i | −0.232263 | + | 0.0622348i | ||||
\(808\) | −7.41154 | + | 27.6603i | −0.260737 | + | 0.973084i | ||||
\(809\) | 40.5788 | − | 23.4282i | 1.42668 | − | 0.823692i | 0.429819 | − | 0.902915i | \(-0.358577\pi\) |
0.996857 | + | 0.0792233i | \(0.0252440\pi\) | |||||||
\(810\) | −33.0263 | + | 6.75833i | −1.16043 | + | 0.237464i | ||||
\(811\) | 30.3397 | 1.06537 | 0.532686 | − | 0.846313i | \(-0.321183\pi\) | ||||
0.532686 | + | 0.846313i | \(0.321183\pi\) | |||||||
\(812\) | 17.8564 | − | 15.4641i | 0.626637 | − | 0.542684i | ||||
\(813\) | −16.3923 | − | 16.3923i | −0.574903 | − | 0.574903i | ||||
\(814\) | −3.46410 | − | 6.00000i | −0.121417 | − | 0.210300i | ||||
\(815\) | −1.68653 | − | 8.24167i | −0.0590767 | − | 0.288693i | ||||
\(816\) | − | 32.7846i | − | 1.14769i | ||||||
\(817\) | 3.00000 | + | 11.1962i | 0.104957 | + | 0.391704i | ||||
\(818\) | −4.16987 | − | 15.5622i | −0.145796 | − | 0.544119i | ||||
\(819\) | 0.588457 | − | 8.19615i | 0.0205624 | − | 0.286397i | ||||
\(820\) | −1.73205 | − | 1.14359i | −0.0604858 | − | 0.0399360i | ||||
\(821\) | −9.92820 | − | 5.73205i | −0.346497 | − | 0.200050i | 0.316645 | − | 0.948544i | \(-0.397444\pi\) |
−0.663141 | + | 0.748494i | \(0.730777\pi\) | |||||||
\(822\) | −16.3923 | + | 16.3923i | −0.571747 | + | 0.571747i | ||||
\(823\) | −13.6962 | − | 3.66987i | −0.477418 | − | 0.127924i | 0.0120822 | − | 0.999927i | \(-0.496154\pi\) |
−0.489500 | + | 0.872003i | \(0.662821\pi\) | |||||||
\(824\) | 31.5167 | + | 18.1962i | 1.09793 | + | 0.633893i | ||||
\(825\) | −7.00000 | + | 1.00000i | −0.243709 | + | 0.0348155i | ||||
\(826\) | −2.39230 | + | 33.3205i | −0.0832389 | + | 1.15937i | ||||
\(827\) | −17.1506 | + | 17.1506i | −0.596386 | + | 0.596386i | −0.939349 | − | 0.342963i | \(-0.888569\pi\) |
0.342963 | + | 0.939349i | \(0.388569\pi\) | |||||||
\(828\) | −1.60770 | + | 1.60770i | −0.0558713 | + | 0.0558713i | ||||
\(829\) | 8.19615 | − | 4.73205i | 0.284664 | − | 0.164351i | −0.350869 | − | 0.936425i | \(-0.614114\pi\) |
0.635533 | + | 0.772074i | \(0.280780\pi\) | |||||||
\(830\) | −9.12436 | − | 18.2487i | −0.316711 | − | 0.633422i | ||||
\(831\) | −32.4904 | − | 18.7583i | −1.12708 | − | 0.650719i | ||||
\(832\) | 24.0000 | + | 24.0000i | 0.832050 | + | 0.832050i | ||||
\(833\) | −17.7846 | − | 23.7846i | −0.616200 | − | 0.824088i | ||||
\(834\) | −1.73205 | + | 3.00000i | −0.0599760 | + | 0.103882i | ||||
\(835\) | 6.91154 | + | 7.79423i | 0.239184 | + | 0.269730i | ||||
\(836\) | 4.39230 | + | 2.53590i | 0.151911 | + | 0.0877059i | ||||
\(837\) | −43.1506 | − | 11.5622i | −1.49150 | − | 0.399647i | ||||
\(838\) | 0.875644 | − | 3.26795i | 0.0302486 | − | 0.112889i | ||||
\(839\) | −14.1962 | −0.490106 | −0.245053 | − | 0.969510i | \(-0.578805\pi\) | ||||
−0.245053 | + | 0.969510i | \(0.578805\pi\) | |||||||
\(840\) | 4.19615 | + | 32.0526i | 0.144781 | + | 1.10592i | ||||
\(841\) | −9.07180 | −0.312821 | ||||||||
\(842\) | 11.0263 | − | 41.1506i | 0.379991 | − | 1.41814i | ||||
\(843\) | 45.2487 | + | 12.1244i | 1.55845 | + | 0.417585i | ||||
\(844\) | −20.5359 | + | 35.5692i | −0.706875 | + | 1.22434i | ||||
\(845\) | −11.1603 | − | 0.669873i | −0.383924 | − | 0.0230443i | ||||
\(846\) | −0.339746 | + | 0.588457i | −0.0116807 | + | 0.0202316i | ||||
\(847\) | 18.1244 | + | 20.9282i | 0.622760 | + | 0.719102i | ||||
\(848\) | 12.0000 | − | 3.21539i | 0.412082 | − | 0.110417i | ||||
\(849\) | 23.4904 | + | 13.5622i | 0.806188 | + | 0.465453i | ||||
\(850\) | −24.0000 | − | 18.0000i | −0.823193 | − | 0.617395i | ||||
\(851\) | −9.00000 | + | 5.19615i | −0.308516 | + | 0.178122i | ||||
\(852\) | −42.2487 | − | 42.2487i | −1.44742 | − | 1.44742i | ||||
\(853\) | 29.3205 | − | 29.3205i | 1.00392 | − | 1.00392i | 0.00392277 | − | 0.999992i | \(-0.498751\pi\) |
0.999992 | − | 0.00392277i | \(-0.00124866\pi\) | |||||||
\(854\) | 16.2224 | + | 33.4186i | 0.555120 | + | 1.14356i | ||||
\(855\) | −5.07180 | + | 2.53590i | −0.173452 | + | 0.0867259i | ||||
\(856\) | 7.80385 | − | 13.5167i | 0.266730 | − | 0.461990i | ||||
\(857\) | 15.7583 | + | 4.22243i | 0.538294 | + | 0.144236i | 0.517716 | − | 0.855553i | \(-0.326782\pi\) |
0.0205786 | + | 0.999788i | \(0.493449\pi\) | |||||||
\(858\) | 6.00000 | − | 6.00000i | 0.204837 | − | 0.204837i | ||||
\(859\) | −14.1962 | − | 8.19615i | −0.484366 | − | 0.279649i | 0.237868 | − | 0.971298i | \(-0.423551\pi\) |
−0.722234 | + | 0.691648i | \(0.756885\pi\) | |||||||
\(860\) | −14.6603 | + | 3.00000i | −0.499911 | + | 0.102299i | ||||
\(861\) | 1.96410 | + | 1.33013i | 0.0669364 | + | 0.0453306i | ||||
\(862\) | 4.85641 | + | 18.1244i | 0.165410 | + | 0.617318i | ||||
\(863\) | 6.23205 | + | 23.2583i | 0.212141 | + | 0.791723i | 0.987153 | + | 0.159776i | \(0.0510772\pi\) |
−0.775012 | + | 0.631947i | \(0.782256\pi\) | |||||||
\(864\) | −12.3923 | + | 21.4641i | −0.421595 | + | 0.730224i | ||||
\(865\) | 1.05256 | − | 0.215390i | 0.0357881 | − | 0.00732349i | ||||
\(866\) | 11.4641 | + | 19.8564i | 0.389566 | + | 0.674748i | ||||
\(867\) | −1.36603 | − | 1.36603i | −0.0463927 | − | 0.0463927i | ||||
\(868\) | −17.6603 | + | 50.9808i | −0.599428 | + | 1.73040i | ||||
\(869\) | −9.46410 | −0.321048 | ||||||||
\(870\) | −15.0263 | + | 22.7583i | −0.509439 | + | 0.771580i | ||||
\(871\) | 14.7058 | − | 8.49038i | 0.498286 | − | 0.287686i | ||||
\(872\) | 3.12436 | − | 11.6603i | 0.105804 | − | 0.394866i | ||||
\(873\) | −6.26795 | + | 1.67949i | −0.212138 | + | 0.0568422i | ||||
\(874\) | 3.80385 | − | 6.58846i | 0.128667 | − | 0.222858i | ||||
\(875\) | 25.7679 | + | 14.5263i | 0.871116 | + | 0.491078i | ||||
\(876\) | 28.0526 | − | 16.1962i | 0.947808 | − | 0.547217i | ||||
\(877\) | 5.19615 | + | 19.3923i | 0.175462 | + | 0.654832i | 0.996473 | + | 0.0839192i | \(0.0267438\pi\) |
−0.821011 | + | 0.570912i | \(0.806590\pi\) | |||||||
\(878\) | 5.32051 | − | 5.32051i | 0.179558 | − | 0.179558i | ||||
\(879\) | 9.92820 | − | 5.73205i | 0.334870 | − | 0.193337i | ||||
\(880\) | −3.60770 | + | 5.46410i | −0.121615 | + | 0.184195i | ||||
\(881\) | 27.2487i | 0.918032i | 0.888428 | + | 0.459016i | \(0.151798\pi\) | ||||
−0.888428 | + | 0.459016i | \(0.848202\pi\) | |||||||
\(882\) | −0.856406 | − | 7.19615i | −0.0288367 | − | 0.242307i | ||||
\(883\) | −15.2487 | − | 15.2487i | −0.513160 | − | 0.513160i | 0.402333 | − | 0.915493i | \(-0.368199\pi\) |
−0.915493 | + | 0.402333i | \(0.868199\pi\) | |||||||
\(884\) | 36.0000 | 1.21081 | ||||||||
\(885\) | −7.73205 | − | 37.7846i | −0.259910 | − | 1.27012i | ||||
\(886\) | −48.8372 | −1.64072 | ||||||||
\(887\) | −0.820508 | − | 3.06218i | −0.0275500 | − | 0.102818i | 0.950782 | − | 0.309861i | \(-0.100283\pi\) |
−0.978332 | + | 0.207043i | \(0.933616\pi\) | |||||||
\(888\) | 25.8564 | − | 25.8564i | 0.867684 | − | 0.867684i | ||||
\(889\) | −37.0263 | + | 17.9737i | −1.24182 | + | 0.602819i | ||||
\(890\) | −36.0788 | − | 40.6865i | −1.20937 | − | 1.36382i | ||||
\(891\) | 6.75833 | + | 3.90192i | 0.226413 | + | 0.130719i | ||||
\(892\) | −5.80385 | − | 21.6603i | −0.194327 | − | 0.725239i | ||||
\(893\) | 0.588457 | − | 2.19615i | 0.0196920 | − | 0.0734914i | ||||
\(894\) | 53.6147 | − | 30.9545i | 1.79315 | − | 1.03527i | ||||
\(895\) | −28.1051 | + | 14.0526i | −0.939450 | + | 0.469725i | ||||
\(896\) | 24.7846 | + | 16.7846i | 0.827996 | + | 0.560734i | ||||
\(897\) | −9.00000 | − | 9.00000i | −0.300501 | − | 0.300501i | ||||
\(898\) | −8.49038 | + | 31.6865i | −0.283328 | + | 1.05739i | ||||
\(899\) | −39.4186 | + | 22.7583i | −1.31468 | + | 0.759033i | ||||
\(900\) | −2.87564 | − | 6.73205i | −0.0958548 | − | 0.224402i | ||||
\(901\) | 6.58846 | − | 11.4115i | 0.219493 | − | 0.380174i | ||||
\(902\) | 0.124356 | + | 0.464102i | 0.00414059 | + | 0.0154529i | ||||
\(903\) | 16.7942 | − | 3.23205i | 0.558877 | − | 0.107556i | ||||
\(904\) | 10.1436 | 0.337371 | ||||||||
\(905\) | −3.01666 | + | 50.2583i | −0.100277 | + | 1.67064i | ||||
\(906\) | 37.7128i | 1.25292i | ||||||||
\(907\) | −4.50000 | − | 1.20577i | −0.149420 | − | 0.0400370i | 0.183334 | − | 0.983051i | \(-0.441311\pi\) |
−0.332754 | + | 0.943014i | \(0.607978\pi\) | |||||||
\(908\) | 18.7846 | − | 18.7846i | 0.623389 | − | 0.623389i | ||||
\(909\) | 7.41154i | 0.245825i | ||||||||
\(910\) | −35.1962 | + | 4.60770i | −1.16674 | + | 0.152744i | ||||
\(911\) | 8.19615 | 0.271551 | 0.135775 | − | 0.990740i | \(-0.456647\pi\) | ||||
0.135775 | + | 0.990740i | \(0.456647\pi\) | |||||||
\(912\) | −6.92820 | + | 25.8564i | −0.229416 | + | 0.856191i | ||||
\(913\) | −1.22243 | + | 4.56218i | −0.0404566 | + | 0.150986i | ||||
\(914\) | 20.3923 | 0.674517 | ||||||||
\(915\) | −28.4545 | − | 32.0885i | −0.940676 | − | 1.06081i | ||||
\(916\) | −15.4641 | − | 26.7846i | −0.510948 | − | 0.884988i | ||||
\(917\) | 12.9282 | + | 14.9282i | 0.426927 | + | 0.492973i | ||||
\(918\) | 6.80385 | + | 25.3923i | 0.224560 | + | 0.838071i | ||||
\(919\) | 39.0000 | + | 22.5167i | 1.28649 | + | 0.742756i | 0.978027 | − | 0.208480i | \(-0.0668515\pi\) |
0.308465 | + | 0.951236i | \(0.400185\pi\) | |||||||
\(920\) | 8.19615 | + | 5.41154i | 0.270219 | + | 0.178413i | ||||
\(921\) | −1.03590 | − | 1.79423i | −0.0341340 | − | 0.0591218i | ||||
\(922\) | 16.5885 | + | 4.44486i | 0.546312 | + | 0.146384i | ||||
\(923\) | 46.3923 | − | 46.3923i | 1.52702 | − | 1.52702i | ||||
\(924\) | 4.19615 | − | 6.19615i | 0.138043 | − | 0.203838i | ||||
\(925\) | −4.73205 | − | 33.1244i | −0.155589 | − | 1.08912i | ||||
\(926\) | 1.43782 | − | 0.830127i | 0.0472498 | − | 0.0272797i | ||||
\(927\) | 9.09808 | + | 2.43782i | 0.298820 | + | 0.0800686i | ||||
\(928\) | 6.53590 | + | 24.3923i | 0.214551 | + | 0.800717i | ||||
\(929\) | 4.16025 | − | 7.20577i | 0.136494 | − | 0.236414i | −0.789673 | − | 0.613527i | \(-0.789750\pi\) |
0.926167 | + | 0.377114i | \(0.123083\pi\) | |||||||
\(930\) | 3.73205 | − | 62.1769i | 0.122379 | − | 2.03886i | ||||
\(931\) | 9.00000 | + | 22.5167i | 0.294963 | + | 0.737954i | ||||
\(932\) | 3.80385 | − | 14.1962i | 0.124599 | − | 0.465010i | ||||
\(933\) | −46.5167 | + | 12.4641i | −1.52289 | + | 0.408056i | ||||
\(934\) | −9.12436 | −0.298558 | ||||||||
\(935\) | 1.39230 | + | 6.80385i | 0.0455332 | + | 0.222510i | ||||
\(936\) | 7.60770 | + | 4.39230i | 0.248665 | + | 0.143567i | ||||
\(937\) | −0.392305 | + | 0.392305i | −0.0128160 | + | 0.0128160i | −0.713486 | − | 0.700670i | \(-0.752885\pi\) |
0.700670 | + | 0.713486i | \(0.252885\pi\) | |||||||
\(938\) | 11.3205 | − | 9.80385i | 0.369628 | − | 0.320107i | ||||
\(939\) | 32.2487 | 1.05240 | ||||||||
\(940\) | 2.78461 | + | 0.928203i | 0.0908240 | + | 0.0302747i | ||||
\(941\) | −9.73205 | − | 16.8564i | −0.317256 | − | 0.549503i | 0.662659 | − | 0.748922i | \(-0.269428\pi\) |
−0.979914 | + | 0.199418i | \(0.936095\pi\) | |||||||
\(942\) | −34.0526 | + | 34.0526i | −1.10949 | + | 1.10949i | ||||
\(943\) | 0.696152 | − | 0.186533i | 0.0226698 | − | 0.00607437i | ||||
\(944\) | −30.9282 | − | 17.8564i | −1.00663 | − | 0.581177i | ||||
\(945\) | −9.90192 | − | 23.9545i | −0.322110 | − | 0.779239i | ||||
\(946\) | 3.00000 | + | 1.73205i | 0.0975384 | + | 0.0563138i | ||||
\(947\) | −5.98334 | − | 22.3301i | −0.194432 | − | 0.725632i | −0.992413 | − | 0.122949i | \(-0.960765\pi\) |
0.797981 | − | 0.602683i | \(-0.205902\pi\) | |||||||
\(948\) | −12.9282 | − | 48.2487i | −0.419889 | − | 1.56705i | ||||
\(949\) | 17.7846 | + | 30.8038i | 0.577313 | + | 0.999935i | ||||
\(950\) | 15.1244 | + | 19.2679i | 0.490699 | + | 0.625135i | ||||
\(951\) | 8.73205i | 0.283156i | ||||||||
\(952\) | 31.1769 | − | 6.00000i | 1.01045 | − | 0.194461i | ||||
\(953\) | 3.46410 | − | 3.46410i | 0.112213 | − | 0.112213i | −0.648771 | − | 0.760984i | \(-0.724717\pi\) |
0.760984 | + | 0.648771i | \(0.224717\pi\) | |||||||
\(954\) | 2.78461 | − | 1.60770i | 0.0901551 | − | 0.0520511i | ||||
\(955\) | 5.83013 | + | 3.84936i | 0.188658 | + | 0.124563i | ||||
\(956\) | −4.73205 | + | 8.19615i | −0.153045 | + | 0.265083i | ||||
\(957\) | 6.09808 | − | 1.63397i | 0.197123 | − | 0.0528189i | ||||
\(958\) | −1.39230 | − | 5.19615i | −0.0449833 | − | 0.167880i | ||||
\(959\) | −18.5885 | − | 12.5885i | −0.600253 | − | 0.406502i | ||||
\(960\) | −32.7846 | − | 10.9282i | −1.05812 | − | 0.352706i | ||||
\(961\) | 36.4808 | − | 63.1865i | 1.17680 | − | 2.03828i | ||||
\(962\) | 28.3923 | + | 28.3923i | 0.915405 | + | 0.915405i | ||||
\(963\) | 1.04552 | − | 3.90192i | 0.0336913 | − | 0.125738i | ||||
\(964\) | −40.7846 | −1.31358 | ||||||||
\(965\) | −8.46410 | + | 25.3923i | −0.272469 | + | 0.817407i | ||||
\(966\) | −9.29423 | − | 6.29423i | −0.299037 | − | 0.202513i | ||||
\(967\) | −10.5096 | − | 10.5096i | −0.337967 | − | 0.337967i | 0.517635 | − | 0.855602i | \(-0.326813\pi\) |
−0.855602 | + | 0.517635i | \(0.826813\pi\) | |||||||
\(968\) | −28.5885 | + | 7.66025i | −0.918868 | + | 0.246210i | ||||
\(969\) | 14.1962 | + | 24.5885i | 0.456046 | + | 0.789895i | ||||
\(970\) | 12.5359 | + | 25.0718i | 0.402503 | + | 0.805007i | ||||
\(971\) | 10.0000 | − | 17.3205i | 0.320915 | − | 0.555842i | −0.659762 | − | 0.751475i | \(-0.729343\pi\) |
0.980677 | + | 0.195633i | \(0.0626762\pi\) | |||||||
\(972\) | −3.85641 | + | 14.3923i | −0.123694 | + | 0.461633i | ||||
\(973\) | −3.16987 | − | 1.09808i | −0.101621 | − | 0.0352027i | ||||
\(974\) | 13.9282 | − | 24.1244i | 0.446288 | − | 0.772994i | ||||
\(975\) | 37.6865 | − | 16.0981i | 1.20694 | − | 0.515551i | ||||
\(976\) | −39.7128 | −1.27118 | ||||||||
\(977\) | −5.36603 | + | 20.0263i | −0.171674 | + | 0.640697i | 0.825420 | + | 0.564519i | \(0.190938\pi\) |
−0.997094 | + | 0.0761781i | \(0.975728\pi\) | |||||||
\(978\) | −9.92820 | − | 2.66025i | −0.317469 | − | 0.0850655i | ||||
\(979\) | 12.5885i | 0.402329i | ||||||||
\(980\) | −29.7128 | + | 9.85641i | −0.949141 | + | 0.314851i | ||||
\(981\) | − | 3.12436i | − | 0.0997530i | ||||||
\(982\) | 4.46410 | − | 16.6603i | 0.142455 | − | 0.531650i | ||||
\(983\) | 3.27757 | − | 12.2321i | 0.104538 | − | 0.390142i | −0.893754 | − | 0.448557i | \(-0.851938\pi\) |
0.998292 | + | 0.0584153i | \(0.0186047\pi\) | |||||||
\(984\) | −2.19615 | + | 1.26795i | −0.0700108 | + | 0.0404207i | ||||
\(985\) | −11.6147 | − | 13.0981i | −0.370076 | − | 0.417339i | ||||
\(986\) | 23.1962 | + | 13.3923i | 0.738716 | + | 0.426498i | ||||
\(987\) | −3.16987 | − | 1.09808i | −0.100898 | − | 0.0349522i | ||||
\(988\) | −28.3923 | − | 7.60770i | −0.903280 | − | 0.242033i | ||||
\(989\) | 2.59808 | − | 4.50000i | 0.0826140 | − | 0.143092i | ||||
\(990\) | −0.535898 | + | 1.60770i | −0.0170320 | + | 0.0510959i | ||||
\(991\) | −17.6865 | − | 30.6340i | −0.561831 | − | 0.973120i | −0.997337 | − | 0.0729342i | \(-0.976764\pi\) |
0.435506 | − | 0.900186i | \(-0.356570\pi\) | |||||||
\(992\) | −40.7846 | − | 40.7846i | −1.29491 | − | 1.29491i | ||||
\(993\) | 9.92820 | + | 9.92820i | 0.315062 | + | 0.315062i | ||||
\(994\) | 32.4449 | − | 47.9090i | 1.02909 | − | 1.51958i | ||||
\(995\) | 6.92820 | − | 3.46410i | 0.219639 | − | 0.109819i | ||||
\(996\) | −24.9282 | −0.789880 | ||||||||
\(997\) | −3.00000 | + | 11.1962i | −0.0950110 | + | 0.354586i | −0.997021 | − | 0.0771291i | \(-0.975425\pi\) |
0.902010 | + | 0.431715i | \(0.142091\pi\) | |||||||
\(998\) | −13.5167 | + | 13.5167i | −0.427862 | + | 0.427862i | ||||
\(999\) | −14.6603 | + | 25.3923i | −0.463830 | + | 0.803377i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 280.2.bv.c.117.1 | yes | 4 | |
5.3 | odd | 4 | 280.2.bv.b.173.1 | yes | 4 | ||
7.3 | odd | 6 | 280.2.bv.a.157.1 | ✓ | 4 | ||
8.5 | even | 2 | 280.2.bv.d.117.1 | yes | 4 | ||
35.3 | even | 12 | 280.2.bv.d.213.1 | yes | 4 | ||
40.13 | odd | 4 | 280.2.bv.a.173.1 | yes | 4 | ||
56.45 | odd | 6 | 280.2.bv.b.157.1 | yes | 4 | ||
280.213 | even | 12 | inner | 280.2.bv.c.213.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.a.157.1 | ✓ | 4 | 7.3 | odd | 6 | ||
280.2.bv.a.173.1 | yes | 4 | 40.13 | odd | 4 | ||
280.2.bv.b.157.1 | yes | 4 | 56.45 | odd | 6 | ||
280.2.bv.b.173.1 | yes | 4 | 5.3 | odd | 4 | ||
280.2.bv.c.117.1 | yes | 4 | 1.1 | even | 1 | trivial | |
280.2.bv.c.213.1 | yes | 4 | 280.213 | even | 12 | inner | |
280.2.bv.d.117.1 | yes | 4 | 8.5 | even | 2 | ||
280.2.bv.d.213.1 | yes | 4 | 35.3 | even | 12 |